Parent doesn't want me to change her daughters diapers

I am the only trans person at my center, I'm nonbinary but on T, present masculine, most of my coworkers call me by he/him, etc. There is only one cisman who works at my center. Besides me and him everyone at this center is a ciswoman.

Now I have a newer child in my classroom, she's actually been here for about 3 weeks. But yesterday her mother spoke to admin about not wanting I or my male coworker to change her daughters diapers. Admin said that was discriminatory and to continue doing my job and that they'll talk to Mom and try to handle it. But I just feel so awful? I've never had this happened to me, but granted I've only worked in childcare for 3 years. My coworkers tell me that our male coworker has had this happened to him before. I just don't know how to process this.

Update: director said not to change her diaper until HR comes to some conclusion because 'thid might be cultural or religious " which I think is not a good reason but I digress...