what would you do if your fiance / gf/bf did this to you?

Just want some opinions.

My gf accused me checking out women on Facebook ( it was a tagged photo from people who were being made fun of so I clicked to be nosy and an old friend went through her profile pictures to see how she's doing though I never liked her or don't find her attractive whats so ever) That is all. My intentions were to never "check out" women, I was just being nosy and seeing who they were making fun of "i even clicked guys photos"

She called text me saying she was packing leaving go to her moms house (we live together) she went crying over there and told her mom and sister what happened about our problems. Obviously I am embarrassed and now feel their family is being judgmental after the family telling her that's how men are this and that. I am actually super faithful; never cheated, I don't even flirt with women; to that matter, I don't even eye flirt with women. But it just gave me so much doubts now and wanting to leave her after crying and telling her family everything.

any opinions? I mean I am so frustrated. I normally don't tell my problems, but now, wow, I feel embarrassed and judgmental after she told her family (and obviously family and friend will side with her)