Questions: Relationships

Just a basic question, in my experience my current girlfriend was talking to another guy behind my back, she was gonna go to a bar party with me for an event but I ended up not being able to go, she ended making a plan to go to a guys hotel room instead & I found out, we fought & we broke up that night & she tried to get back together again the next day, then the same guy invited her to a pre-game Christmas party & she said she was going & I told her I was uncomfortable, they showed up to the same bar together & I beat him up (wasn’t a good idea), she ended up sleeping with him that night (I know because I showed up to her house, they were both in their underpants when I showed up to her house for my clothes I’ve lent her) after the night at the bar. She tried taking me back the next day (& It’s a little gross I was with someone else & got her to answer the phone for me to say I’m busy lol) & I ended up taking her back. She being saying we weren’t together when these things happened for months but I still feel cheated on & betrayed & I don’t know what to do how to approach the situation because she doesn’t let me talk about it & says it’s a long time ago & pushed my feelings about it to the side for half a year & I’m very unhappy with her (but I’m more scared of being unhappy without her). Since the second issue happened I’ve been less committed to her & flirting with other girls & making new relationships (I have not had sex, kiss or physically cheat) because I don’t feel safe or happy in my relationship & she’s trying to tell me that me flirting with other girls is cheating though. I’m just wondering if what she did would be cheating because she says it’s not & expects me to forgive her for it but I don't know how too (& I feel more foolish by the day)?

Is it true that the child always comes first and a man will never be treated with the same attention, sex, and appreciation that single women without children can provide?

She is either single because she was the issue... or she is a single mom because the baby daddy was the issue... and if bsby daddy is the issue isn't a single mom too damaged by love to fully embrace a man in a relationship?

Quite personally i see it as true. Every time i have seen a woman complain about no good men, its either a woman who has multiple children with multiple fathers... which is something i have no respect for. Or Career women who won't accept a hard working man who just happens to make less than her.

Women have the power to control if and when a couple have sex, but guys have the power if they will get into a relationship.
Do you people agree?