I am so worried about this. I haven't yet started uni, but there are only two issues which are making me nervous and this is one of them (the other is maintaining a high enough grade average to get into the master's programme I want). I have never heard it described as feeling "trapped", however now that I read it I think it is more correct than any other description I've come across. It feels like this with every person with whom I speak, an exception being my close family, and the only reason they are an exception is because they are used to my awkwardness. It usually gets to the point where I absolutely cannot look at the person's face anymore (generally I try for as long as I'm able to look at the mouth, which helps with the processing of verbal information) because I am devoting so much attention to appearing as normal and not awkward as I can. That is takes me longer than most people to reply to questions since I must first determine whether the person actually means what the question literally means also doesn't help. After about five minutes of interaction with someone I don't know well, I want to go somewhere far away where I can be alone and collect my thoughts (and stim, most likely), but I can't because the damned person is still talking at me. This is when it begins to feel like I'm trapped. And then of course there is what you've described: the replaying of the conversation over and over again in my brain and analyzing what I said and how I said it, and regretting how awkward I was and that I missed some joke which later seems obvious. Or completely missing the point of the person's questions and not noticing until my mother tells me three days later.
In conclusion: yes.