Is Rama Sexist?

To be completely honest, I haven't really seen many times where Rama has been sexist. I don't know if I'm not reading careful enough but I haven't seen enough times to consider him sexist. The only time I really saw him being some what sexist is when he was hestitant to kill Mareecha because she was a girl. And when he didn't want Sita to come into the forest with him.
I feel like Rama is more respectful of women than he is sexist. Like he treats his wife really good and he loves her. He respects her wishes and does the stuff she asks.

So honestly, I don't know! :/