I sympathise with your position: people with penises are called men where I come from, and have no place in a women’s changing room, whether they present as a woman or not. For one thing, how are we to know they are a trans woman if they still have male parts? They might be male perverts wishing to see women naked, playing the trans card to do so. How are you supposed to tell them apart?
You have every right to object to seeing dicks in the women’s room. Women deserve to have a safe place to be away from men, and to not to have to see male sexual organs in their changing rooms is not much to ask.
The rule is very simple: if you have a vagina use the women’s room; if you have a penis, use the men’s room.
Simple, when you strip away all the politically correct cis-and trans-, newspeak language, and just speak in plain English.