a woman from work

my fiance works with this woman, and she keeps Facebook messaging him like saying hi want to go two Stepping and asking for his number and asking him to text her. I asked him about it once and he flipped his shit saying I need to not worry and mind my own business (because I have access to his Facebook and I looked at her page and then asked him about it I didn't hid that I looked) . I have trust in him that he won't cheat. But it makes me very uncomfortable. Should I bring it up to him? I have been thinking just saying how uncomfortable it makes me that she messages and wants to go out. I am terrified of him cheating because my whole life including my home is gone. I have to figure out my whole life if he does something like that. I have never even once had reason to doubt him and I do love and trust him. But something about this situation in particular makes me so on edge.