Oh people are talking about my country maybe I can give some info too.
Turkey is a constituonally secular country (although majority of people and the ruling party are conservative). So there are no dress codes and trans people are allowed to change their legal gender since 1988. But it is a difficult process, trans people have to get SRS to be recognized as their true gender and even for that they have to get permission from court, and court requires you to get some reports from certain state hospitals. Insurance is supposed to cover SRS but it is almost impossible to find a surgeon willing to do it (who works in a state hospital) so trans people have to get it done in a private hospital. I am not sure how they rule if one gets surgery abroad without court permission.

There are currently no laws to protect LGBT people against discrimination at work or other areas, it has been proposed but ruling party was against it. It is a huge problem, a lot of young people who are rejected by their family have to do sex work because of this. I am not sure why would it be a problem to get into a university though.
Public opinion varies, it is probably better in big cities like Istanbul and western cities where more secular people live. We had big LGBT pride marches in recent years in Istanbul. Regardless, if the parliament were to improve LGBT rights few people would object or talk about it more than a few days, because even conservative people are used to seeing LGBT people, especially singers etc. Overall it is not the best or the worst country for trans people to live, but it should be ok to visit. That being said a lot of terrorist attacks occur nowadays so no one is completely safe trans or not.