I've seen the webchat today. Hadn't read it before. Agree she didn't do well.
It is always difficult with a minister to know how much is their personal views and how much is being forced on them by the government. Before she became leader of the Conservative Party, Margaret Thatcher was best known for withdrawing free school milk from 7-11 year old children while she was Education Secretary. It wasn't until cabinet papers came out 30 years later that we discovered she had opposed the policy but had been forced into it.
So for me, the jury is out on Mordaunt. The bill that would have allowed self-ID was clearly Theresa May's policy and one which she promoted heavily, so anyone taking the role of Minister for Women and Equalities would have had to promote it regardless of their personal views. Mordaunt now says she disagreed with it. We won't know until 2049 whether she disagreed with it at the time and made her views known, although she clearly didn't consider it a resigning matter. I haven't seen her actively promoting access to women-only spaces for trans women, but neither have I seen her saying that it shouldn't happen. I would like her to adopt a clear position on the issue - preferably not that espoused by Mermaids and the like.
For me, the position is clearer with Crispin Blunt, another Conservative MP. During the same debate in which Mordaunt made her "trans women are women" comment, he stated that, "In reality, trans women pose no threat to women". That shows a complete lack of awareness, to put it mildly.