Unless the game and situation goes in a way disastrous direction, Alexia doesn't mind angering the Dark Gods... indeed, it's her sworn mission to foil everything they stand for after all! 

And yes, Alexia cares for the Goodly Gods and pays them and the Church respect, but the source of her power, when she finally makes her vows, will come from her own convictions and the strength of her spirit, so it's important that her Holy Symbol be something she made herself and represents her views and the things she draws strength out of instead of simply the representation of a single, specific God.