This episode was a fun period piece, mixing Bridgerton and bounty hunters, with a lot of fun gowns and mocking of the upper class. But it's also a very weird episode.
First off, the Doctor's view of romance has really ... evolved. In the Rose years it was all, "no, we mustn't, the most I can give you are longing looks." In the River years it was - "Wait, I'm married? How on earth did that happen? Well, I guess if it's already happened I'll have to accept it." And now it's "hey, you up?" It's not really what I would expect of the doctor. I mean, yes, he's always a little different, but this seems to be a big, surprising push.
And while I don't want to get into spoilers, his reactions at the end also don't jibe with the Doctor we know. The Doctor is "never say die." Tell me the Doctor is throwing orgies in the Tardis and I'll say, "well, that's unexpected, but okay." Tell me the Doctor is like, "well, that's how the cookie crumbles" and I'm like, "whaaaaaaaa?"
Right now the most popular user review here lists 6 or so ways in which the Doctor seems off of Doctor norms. I agree with all of them.
But it was still a fun episode.