I agree that what OP has said does not mean she is EII, but I think it's a bit much to say it makes her not EII. It doesn't sound like she's just running away without saying a word (which would be impolite), rather saying just enough to be polite and leaving as soon as possible. So she's still being "polite toward everyone." Any type can have some social anxiety, and it's easy to imagine an EII with a little social anxiety and risk aversion running away from ex ante "neutral" people instead of just "clearly bad" people. It would be a defensive mechanism to cover for Se polr--"I don't have faith in my ability to stand up for myself, so until I'm sure of someone's intentions, I won't interact too much with them, or they might take advantage of me because I'm unable to say no."
It's true EIIs are generally interested in people and like to get to know them better, but I think we like to do it on our own terms... If someone approaches unexpectedly, it's on their terms, so an EII could feel insecure due to weak Se.> Another time was when a male acquaintance who had never talked to me before, suddenly came up to me to try to make small talk in a way. I was taken aback by his sudden advances, and did not know how to handle it, so I retreated elsewhere quickly.
This would be strange for EII. They have interest to people and like to know them better.
I think OP's emphasis on knowing others' intentions is actually very EII, but her type is a topic for its own threads.