Yes and no - she would not be a good influence on him, and she wouldn't meet his criteria anyway.

If Gil were not to end up with Agatha and Tarvek really is planning to resurrect Anevka and get Lu out of her head too, Anevka would be a politically useful alternative. She's royal and Sparky, and marrying the opposition is often a useful part of ending wars. Marrying into the recognized Storm King bloodline could only help, too. Not that I think this is in any way likely, but interesting for speculation.