Should I delete my ex girlfriend from Facebook?

[Jay]

The fact you are even asking this question suggests to me that you feel your girlfriend is overstepping her boundaries. As in what gives her the right to delete anything of yours or to tell you who you can or can not talk to. I happen to agree with you. I would never in a million years tell my wife she wasn't allowed to talk to her ex. I'm even friends with one of them.

If she is making demands you feel are unacceptable then you have to put your foot down and tell her. IF she chooses to leave you over it its better than 5 years down the line you being scared to open your mouth to her when she is wrong.