Trust Issues

Fist off I want to say I love my fiancé with all my heart. Anyway, we have been arguing alot more than usual. It wouldn't bother me much if it were for a real reason, but it's for pointless crap, and that bothers me. All of our arguments for the past few days have been because of the computer. Case in point, when she is at work, I get on yahoo and talk to people for a bit as does she. When I don't know the person I check out their profile, as does she. The problem us that when she gets home, she goes through the history on Internet Explorer. She checks everything I looked at and if the profile of a girl shows up, she starts freaking out accusing me of flirting and wanting to cheat on her. I really hope I can get her to realize she can trust me, because if I can't then it may end our relationship and I don't want that to happen. I really hope all this works out in the end.