At the outset of the hearings when the chair is laying out the ground rules, he should make it perfectly clear that anyone bringing up faith or religion will be barred from the hearings forthwith and any comments they made will be struck from the record.
I believe she is perfectly within her rights to refuse to discuss her faith. At. All. Zip. Zero. Nada. They ask, she just looks at them, no comment. Off Limits. Can't go there. Take away the only line of attack they have. Done.