Seriously, she should exclude abortions from her physicians liability insurance, then she can say
“My insurance does not cover malpractice for abortion procedures”
I am very sorry but for that reason I cannot provide abortion services.
When I was threatened by Planned Parenthood in my professional capacity I did not say, I was sorry, make excuses, etc. I threatened to sue them if they did not back off. You have to stand up to bullies otherwise the abuse will just continue.