I hope your dental appointment goes well, MBHP1.
I believe that 'the trans issue' is pushing many other feminist issues aside, which on one hand is a shame, as the day to day lives of women are still massively affected by childcare issues, work/home balance, the gender pay gap and so many other things.
On the other hand, I also believe that if feminists lose the argument over self-ID we will be pushed back generations. If men can define themselves as women at will, there will be no protection against discrimination, and so many of the things that previous generations of feminists (including many of us on this board) fought for for so long would be lost, which I think would be tragic. Employers would be able to employ men over women with no comeback if the men defined as female at interview, women would have nowhere to be safe when they feel vulnerable, and so on. It is vitally important that these (and other) issues are discussed without threats to those who disagree that self-ID is a human right, but we seem to be a long way from that being the case.
Regarding the 'branches' of feminism, I think that these are useful in an academic context, in the same way as sociological or historical terms are useful. They help to summarise wide-ranging issues, and act as shorthand in discussions, so that people don't have to keep redefining terms. I don't think that they are particularly useful otherwise, though, as they are too reductive. People don't fit easily into boxes and think as one, and in a hypothetical Venn diagram of feminism, more would fit into the overlapping sectors than in the original circles.