I'm with suziewoozie on this one.
Whether or not the word was coined by self-defining feminists doesn't make any difference to how I feel about the concept. It neutralises women, and the fact that there is not an equivalent term to encompass men and transmen says it all, really. There are 'men' and 'those who are not men', which includes transwomen and those who self-define as such.
This does not mean that I am anti-trans, trans-exclusionary or otherwise radical - it simply means that I am concerned about the anti-feminism that appears to be sweeping the globe along with the swing to the right, and I don't think that the two things are unconnected. When I first read The Handmaid's Tale years ago I was shocked by it, but saw it as science fiction. Now it seems worryingly prophetic.