Putting aside for the moment that it's not the SC job to "make" law, I believe the following quote applies regardless: "The only thing necessary for the triumph of evil is for good men to do nothing-Edmund Burke"
"Resigning honorably" is doing precisely nothing.
Going to jail is certainly more than resigning. And it has given internet people something to talk about for a couple days.
Given the left a good argument about how dangerous Christians are since they want to establish a theocracy.
In the end, either this woman or someone else will issue marriage licenses in accordance with the SCOTUS ruling.
This is not the right case to fight this ruling and this is a losing cause.