Clothing (also known as clothes, apparel, and attire) are items worn on the body. Typically, clothing is made of fabrics or textiles, but over time it has included garments made from animal skin and other thin sheets of materials and natural products found in the environment, put together. The wearing of clothing is mostly restricted to human beings and is a feature of all human societies.
Doubting whether the Najasat has transferred to your body or cloth or not, does not make your body or cloth Najis. You can consider everything as Tahir unless and until you know for sure that it is Najis.
'If you are sure that you performed a Prayer while your body or cloth were Najis, then you need to be Tahir and perform that Prayer again.
If the down side of the shoes becomes Najis, then walk ten steps after removal of the Najis item, lower part of the shoes becomes Tahir.
'If the upper part of the shoes becomes Najis, you must wash it with water after removing the Najis item if any.
Muslim should not promote revealing clothes because it means encouraging sinful acts. If you have a reasonable possibility that such revealing clothes will be covered with other clothes, like Muslim females who wear Hijab over revealing cloth, then there is no problem in selling it, but if you know that such revealing clothes will be worn in public, then you should take not part in promoting sinful acts. Money earned from sinful acts is not Halal as well.
No. Everything is Tahir for you until you know for sure that it is Najis. As you are not sure that the ground is Najis, you can consider it as Tahir.
Not true according to Islamic teachings. It might be a cultural matter in some countries. You can wash any cloth or underwear together in washing machine which is connected to tab water which makes all the clothes Taahir.
Such clothes need to be washed with water like washing any other Najis clothes, then it will become Taahir.
Plates and vessels contaminated by dog need to be washed first with soil, then with pure water, but this rule is not for clothes.
Plates or vessels contaminated with pig or dead rat need to washed with water seven times. That is not for clothes.
There is no shar'i problem with praying while wearing a t-shirt or half sleeve shirt.
And Allah knows best.
If you touch a Najis item e.g. a dog, with wetness, then your touching part of your body or cloth becomes Najis and needs to be washed with water to be Taahir. If you touch a dog or any Najis item with out wetness, then your body of cloth is not Najis.
For health precaution, you are advised not to touch a dog even with dry hands because of the possibility of transfer of microbes or parasites from the dog to your body. You can read on the medical researches published online about the dangerous illnesses which can come to humans from dogs. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5319273/#:~:text=Viral%20infections%20such%20as%20rabies,staphylococcus%20aureus%20are%20the%20most
Usual use of the cloth does not mean wearing it once or twice. Usual use means wearing it as one of your cloth which you usually wear.
If an item is not usually used for one year or more, then Khums is applicable on it or it's current value.
Sorry to hear you are having wudu challenges.
While many people successfully complete wudu in Western clothing, I agree that Western clothing (especially formal wear for men) is more restrictive than some other cultures' forms of clothing, and may pose some logistical challenges (such as Sleeves That Do Not Rise or Inflexible Trousers), or is in an awkward space (Work Bathroom With Colleagues Staring). I am sure many of us have had Adventures in Clothing We Cannot Do Wudu In.
(This is setting aside other issues, such as not being able to undo buttons on sleeves due to a mobility problem, which would be a different sort of issue and would need a different intervention)
So, first, some general thoughts:
* If possible, try to wear clothing that you know you can do wudu in while wearing. I know that sounds simple, just putting it out there. Sometimes you can change what you wear, and sometimes you can't.
* If you are doing wudu in the same place regularly (such as a job site), perhaps you can keep some helper items around you, such as plastic slippers, or a stool. If it is awkward to keep those in a washroom area, maybe there are other locations you can do wudu, such as on an outdoor or park bench with a water bottle?
Sock Challenges vary according to madhhab.
* Sunni - The down side of Sunni-style wudu is that you have to wash your feet. Yes, it's awkward lifting up your feet and sticking them in the sink at work. Sometimes they even have rules against it. There may be other more comfortable or more discreet ways to accomplish this. You will have to think outside the box to find what works for you.
The plus side is, many Sunnis will allow wiping over leather socks as long as one has done wudu before wearing them. So, if you are doing Sunni-style wudu, you could see if that is a possibility. As in this article: https://islamqa.info/en/answers/9640/conditions-of-wiping-over-socks
* The plus side of Shi'i-style wudu is that you only have to wipe the feet. This can be done more discreetly without hauling your feet up into the sink, and is easier to do away from running water. Overally, Shi'i-style wudu is more water-efficient. But you do still have to wipe the feet, and there is no option to wipe over leather socks.
Some time ago, they used to sell "wudu socks" for women (I think made in Iran?). Perhaps they still exist. They were socks with flaps at the toes, so that, rather than taking off the entire sock, you could just open the flap and wipe the foot from the toe area, then close the flap back up. I am not sure if such items existed for men, but you could have a look and see if such a thing exists. If not, maybe make your own or have them made, or start your own product line?
Anyway, in short, yes, you do still have to do wudu as long as you actually have water and are able to perform wudu.
If you have a physical reason why you are absolutely unable to perform regular wudu (such as a cast on your foot), or some other sort of mobility consideration, that is a different situation and you should look up your specific case in accordance with the type of fiqh you follow.
But if it is just awkward, maybe you can think of some different ways to go about doing wudu that help to meet your needs better and make life easier. After all, Allah desires ease not difficulty!
If she is spraying (urinating) on you/your clothing, and you have cat urine on yourself or your clothes, you should wash out the urine before praying. If not, it's not a big deal, but it might be annoying.
Yes it is allowed to have a cat and touch her. Praying Namaz needs your body and cloth clean from the hair of can or any animal which is not permissible to eat. Ayatullah Sistani allows few hairs.