I think my TA winked at me and have developed feelings. Should I ask her out after the semester ends?
As long as you wait until after the semester is over and final grades have been assigned before asking her out, you are on clear grounds ethically. Personally I find the idea no less reasonable than the idea of asking anyone else out. You are both adults. She will either be interested or not. You will never know unless you ask her.

A good friend of mine started dating his former student back when he was a TA. They waited until the semester was over. They are now happily married with two kids.

Good luck! And don’t pay attention to the downvotes. Your question may not be the most pressing one the world of academia has right now, but it’s a valid question and is important to you.