Hey i was courious about if my girlfriend was cheating. When we first got together in a relationship she ask me about having an open relationship. I was like (what the f**k!)

Made me start to wonder if she had already been seeing someone. When we were already in a relationship. I would never ask her to see other women. So i developed these trust issues with her about if she was keeping it real or not. I dont know if i should stay in the relationship with her because i feel betrayed and disrespected. She keeps asking me to just trust her and that she's not doing anything and want do anything. I'm on edge with believing her because if she could be so foward with asking me to see other guys than she would probably be doing it already. What would you do if your lady ask you about having an open relationship with someone else when your devoted to being with just her?

Tell me what would you do about this situation?