This case reminds me of the wedding photographer and wedding cake baker cases. A clinic cannot even say "We lack the experience to help you properly" without getting sued. Who in his/her right mind would want to go to a medical facility that stated it did not have enough expertise for his/her case? All these types of cases are political punishment trials.
I haven’t been able to confirm this, but, the ACLU who is suing the baker has actually made the statement that Muslims should be allowed to not serve homosexuals, but Christians should not be allowed to not serve them.