<human>: Can you succinctly summarize the text in 1-3 sentences?

I'm 21/F, he's 22. We've been dating for a bit over two years now and the relationship is going pretty well. We're both computer science majors but on different universities. We're both moderate gamers, but never really played each other 'till a few days ago. So my question is simple Reddit, should I let my BF win at video games? 

A bit background info; He's a really cool and intelligent guy but sometimes a bit chauvinist (can't find a better word, English is a foreign language). He comes from a Christian family with pretty old school views, i.e. when living together, the woman should cook and clean and the man should take care of any repairs around the house. Splitting chores is not an option. He does respect me and think of us as equals, and he never insulted me on the fact I was a woman. 

Back to the point; so we decided to visit this local game corner where you rent out a console for an hour and decided to play a FPS on the
<bot>: Both gamers, BF has a bit old school views when it comes to women, beat him in a game, he seemed jumpy, should I let him win from now on?