No, I don't think she'll push Bowie into trooning ou.
I used to at one time, but like another poster here said, if Bowie did troon out, that would take money, and most of all, attention away from Tess.
She's too lazy to take him to doctor and therapy appointments, she won't want to spend money on medication and surgery that insurance/Medi-Cal won't cover, she won't want to share the makeup and skincare she gets as PR, and she won't want to share the limelight.
When he gets older, and starts giving her lip, she will most likely put him on a plane to Australia, call Nick two hours after the plane has left LA, and tell him Bowie is HIS problem now. Unless she can dump him off on her mom like she did with Rylee, but I doubt that will happen.