You have latched on to one story from one news source (a source you absolutely would not trust when talking about, say, Trump's relationship to Russia), one known to be anti-trans.
None of these children were pushed by staff at the WUSTL, they and their parents brought them there.
The doctors at the clinic do not have a profit-sharing arrangement. They have a salary. They don't get paid more for an increased number of treatments.
Should doctors have refused medical care to patients? Refused to take referrals from young doctors (who all have "little experience")? Continue to treat patients who no longer identified as transgender?
If I described to you a sports injury clinic that was being overrun with high-school athletes, and refused to take referrals from other doctors or brought in patients after they had healed for no good reason or refused to put broken bones in casts, you would be outraged at the refusal to treat these children. The only reason this is different for you is because you are opposed to children transitioning, while you are in favor of setting broken bones. That is transphobia.