An important question is what lies behind such odd language. It sounds like pure misogyny to me, i.e., the hatred of the female body and the desire to rename its parts so that it wouldn't appear to exist at all.
So many trans people seem to loathe the female body, though for opposite reasons (trans women for not having it, trans men for having it). But there is no similar loathing of the male body, at least I rarely see it mentioned, and expressions like 'girl dicks' are openly used.
We have the right to point out this misogyny and to ask why what one group wishes to do to the language is so much more important than what the vast majority of women (and perhaps of men) want.
It also seems that someone who can't even face up to using the proper anatomical names for the body needs more therapy, because this reluctance might be linked to not wanting to see a health care provider at all.
The solution is for the individual to find a way to be comfortable with the reality of their body, not for reality to be linguistically denied so much that others (who also have rights) no longer have any words to describe their own experiences or to organise around their own political issues.