To be fair, she must have known that what she was saying would offend trans men - some of whom may employ doulas if they have babies.
If transmen decide to have babies they aren't living as men they've denied their own claim to gender identity. If pregnant they need to just get on with the birthing process and get over their gender sensitivities. No placating for the deluded. This is all such nonsense.
If you work in the birth industry, you have to be very careful with your terminology.
Vulva, clitoris, vagina, cervix, uterus, fallopian tubes, ovaries, ova... these are our words. Breastfeeding, childbirth, and so on are mother's words. If you can't handle the fact that only women have babies then you really shouldn't be having children. There is no reason that a doula, midwife, OBGYN, nurse, or any other hcp or birth guide provider should modify/deny language or medical terminology or the biological reality of a female's body to placate those that wish to twist material reality. If one is too sensitive to handle realistic language about the body about what happens during pregnancy about the dangers and pitfalls of pregnancy and childbirth they need professional psychiatric or psychological care not modification of language to suit their delusion or traumatic (or not) aversion to pragmatism.
The doula did nothing wrong. Women as a class have spent far too long being nice. Good on this doula for being honest and ignoring the pressure to "be nice".