I saw a few comments earlier today about JA not having girlfriends, and I'd like to chuck my cents in.
I think she feels threatened by women. Certainly because of competition, but I think the primary reason is exposure.
Jodi is antisocial, and really, when you boil it all down, she has little to offer, in most situations. She has to rely on what she's got to make it in the world (whoops! What she HAD). What she had was sex appeal. She had to use that on men to get what she needed, and sooner or later, a woman friend is bound to suss that out. You can bet on it. Not only would she not be able to manipulate women, heterosexual women at least, she probably couldn't keep them for long. With all due respect to men, they are easily blinded by a womans charms, women would see her clearly. They could potentially out her, if they felt her behavior was extreme enough to warrant it.
I would think that she probably tried girlfriends when she was younger, and then later realized they held no value, that the risk of exposure publicly or just within the relationship wasn't worth it and kept them at arms reach.
Bonus! She can now lament about all the women that are jealous of her.