Er, Hellsandhsirnets, yes, I said I would have no problem and not would my daughters, sharing a changing room with transgender women.
The issue is not whether you would be happy to share a changing room with anyone - I regularly change in full view of everyone on a beach, albeit with strategic use of a towel.
The issue is that some women have good reason not to want to share a space where they are vulnerable with men. Perhaps some progress could be made on this issue if the fundamental fact that women are concerned about men, not trans people, could be recognised.
Maybe progress could be made if transgender rights didn't apparently depend on the end of recognition of women as a biological sex and the promotion of the idea of segregation by gender.
Given that it's less than 100 years since women could vote on equal terms with men in the UK (much less in other parts of Europe), and that in many parts of the world women are still excluded from society, no, I can't think of many issues that are more important.