Your H isn't going to counseling any time soon. So if you have a good rapport with this C, keep her for your IC. It saves valuable time finding a good C and getting her up to speed. The fact that she is ethical (won't do MC after IC) makes her a good choice, as well.

If H ever agrees to MC again, it will be better to start with someone new, because he already thinks this C is too hard on him. He might try again later, particularly with a male counselor.