If you have to ask it is either probably misogynist or teeters close enough to questionable territory to raise an eyebrow.

That said, video games are art produced within the inescapable social context of it’s authors. Patriarchy is a part of that context and influences the portrayal of women in art and media. If you like media that’s problematic in that way, it’s because you live in a society where sexism is normalised and seeps into every facet of existence. This includes otherwise good or even just innocuous art. Unfortunately, consumers have false consciousness and get really defencive if you say these things as if it were a personal attack.

Can’t speak to this specifically, but in my experience most school teachers in general should absolutely not be teachers given the way they conduct themselves toward pupils, saying and doing things they would never dare to say or do towards anyone else.

I suspect that this is probably less common in tertiary institutions though.