I have an ENFP friend - her and I have become fairly close. After a couple months of interacting as friends, we were hanging out and as we were leaving each other I said, "How about a hug?" And she was all . She hugged me and she goes, "I don't mind hugging you at all, but most of the time and with most people I'm not romantic with, I want nothing to do with it." If she didn't want to hug, that would have been fine as I'm not Fe-dom, whereas an ENFJ might have been hurt by it. But, to me, as an Fe user, the hug is just a simple expression of "Hey, you're a good friend and I appreciate you. Thanks for spending the evening with me." It's like a more personable handshake - more meaningful - like "you're not just an acquaintance, you're a good friend" type thing.
While I respect the Fi users not being comfortable with these kinds of things, it is sometimes hard to understand why it's considered threatening or uncomfortable. To the Fe user, it's just a nice gesture. Maybe Fi users associate the physical touch with something much more intimate - like they are giving the other person access to something very personal?