". . .I will faithfully and impartially discharge and perform all the duties incumbent upon me. . ."
I read the oath. My point is that presiding over wedding ceremonies is not a “dut[y] incumbent upon” a judge. Texas law authorizes judges to preside over weddings, but does not require them to do so.
Also, that is not the oath she took. She is a state court judge, not a “justice or judge of the United States.”