Salaamun Alaikum
A woman needs her husband's consent for going out of the house but she can acquire and ensure these rights that are mentioned in the question as a stipulation or a condition during the contract, so she can ask for the right of studies and working.
Even if she has not and the stubborn husband is not going to let her go out, she can still continue her studies online and even work online because it doesn't need going out.
Perhaps you are referring to the practice in the Shia community of combining the Zuhr and Asr prayers and the Maghrib with Isha prayers.
This is considered permitted on account of abundant evidence in the Islamic sources that the Prophet (s) had combined these prayers without any special reason.
You should not delay your obligatory Prayers at all. Those who delay their obligatory Prayers lose great reward and cause themselves sorrow in the Day of Judgement.
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