If they can't get medical malpractice insurance, no hospital will take them on. Private practice might be possible, but requirements will vary state to state, including state medical board regulations and malpractice insurance requirements. It may be that a state such as Connecticut might have "looser" requirements around "gender-affirming" medical practice than Texas does.
If such a thing exists as "politics based malpractice insurance regulations " then you can bet that a state like Connecticut might still allow these five "physicians " to practice there.
After all, we all know that politics, Trump, and being on the RSOH is what's important here, not the children involved! (or even the numbers of children involved). Just ask FireBucket.