No. Just no. You are confusing the etymological stem of a word with its meaning here.Feminism is sexist per se, otherwise it would be called humanism.
There are many different flavors of feminism, some of them may be sexist (as a mistaken approach towards more gender equality), but feminism most certainly does not have to be sexist by definition.
Saying that feminism is sexist by definition is like saying that an anti-racist is by definition pro 'positive' discrimination, or someone who defends gay rights is by definition against all heterosexuals.
Defending womens' rights is not at all sexist. It is very much the opposite.
As a white male heterosexual, I'm an anti-racist feminist anti-homophobia activist myself, by the way. And no, that does not imply that I hate myself