As erinavery pointed out, she is probably insecure about your relationship.
I also agree with greed about ENFP's prone to take things personally.
Originally Posted by Clownmaster
ENFP = a personality type
being clingy and possessive = a trait, possibly learned from being hurt in the past
And this too.
Probably combination of those things. You should treat her with silk gloves until she feels more secure. if you provoke this thing or not take it seriously, it will probably be much worse in the future. Make her feel safe and comfortable and she'll learn to trust you.
ENFPs might be prone to taking things personally, which I think this might be a manifestation of.
Me? I don't get possessive at all, but I do tend to, say, take criticism personally.
I do the opposite. My last gf (INFJ) broke up with me because she was really good friends with another guy (as in spent more time with him than me) and it drove me crazy. BUt on the other hand, i don't take criticism personally.