There are two issues here: whether or not philosophy departments are sexist, and whether or not philosophers devalue "subjective" reasoning. You seem to be more concerned about the second issue, so I will address that. It is true that many philosophers (male, female and trans, sexist and non-sexist), especially those of an analytic bent, are devoted to a general and abstract conception of objectivity. Such philosophers are usually willing to acknowledge that experience is particular/subjective, and that different people have different experiences. There is a good deal of room in their positions to acknowledge different social identities.
It is true that some feminist philosophers, such as Sandra Harding, critique general and abstract conceptions of objectivity, claiming that they are supported by an underlying white male middle class partiality. Some non-feminist philosophers (especially in Continental and pragmatic philosophy) also reject general and abstract conceptions of objectivity.