Given that we haven't yet, I would imagine that we shouldn't be asking what a "female-rationalist" would do but what a "rationalist who identifies as a woman" would do.

It seems likely that either will be substantially different. The personalities of the trans men I know are significantly formed by female socialization. The trans women I know are similarly affected by male socialization. They are not what they were raised to be, but how they were raised is a significant part of who they are; in most cases a part they dislike and repudiate, but still a major influence on the people they are.

Of course, the oldest trans person I know is barely 30. Potentially those influences will go away with age, but I doubt it. They may disappear from view, but still have a backstage role.