That’s not the moral equivalency here. She is refusing to put her name to something she believes is a sinful act.
Great.
What about an elected official sheriff arresting men and women who have affairs because that is a sinful act which violates the Ten Commandments?
What about the same elected official refusing to put her name on a Certificate of Occupancy or Public Housing lease for a couple “living in sin.”
Is the same elected official permitted to refuse a business permit to a restaurant open on Saturday if that elected official is a Orthodox Jew or 7th Day Adventist..... because in both faiths, it’s a sin for ANYONE to work on the Sabbath.
Can a Muslim elected official refuse a business permit for Peter’s House of Perfect Pork Dinners because it is a sin for anyone to eat pork?
Law and religion; always a bad mix.