In our jurisprudence, semen of any sort is najis, and therefore it cannot be consumed, and it is haram to do so.
In this case, if she has done so intentionally, then she must repent to Allah ta'ala. If it was not intentional, then there is nothing for her to do.
In both cases, her prayers and other acts of worship are valid and accepted, as long as they are done in the correct and valid way.
And Allah knows best.
Ghusl is not obligatory in such case. The liquid which comes out after the discharge of semen is called Wathi وذي
It does not require any Ghusl not Wudhu.
If you urinated before the ghusl, then no further ghusl is required in this case.
It is not allowed to swallow any Najis item and if you allow a Najis item in your mouth, you must spit it out and clean you mouth and lips with water.
Mazi مذي is not Najis according to many authentic Hadeeths, e.g. Saheehat Al-Husain Ibn Abi Al-Alaa' who said: I asked Aba Abdillah ( Al-Sadiq (AS) about Mazi المذي when it touches a cloth, he said: No harm لا بأس . This and many Hadeeths in this regard are in Wasa'il al-Shia, 3:426.
If you are sure that semen has come out, then Ghusl of Janabah will be obligatory on you.
You must be sure that you have completely removed the semen مني . No Najis item can be made Taahir before removing Nijasah عين النجاسة
Stickiness usually means there are some remaining of the semen on your body, unless you applied sticky material like shampoo etc.
If you become sure that you have removed and washed away the semen, then it will enough for you.