So just choose the honorable path and grant her her wish for combat. Daphnae can be brought down very easily with one Hero Strike hit. You won't immediately kill her, but instead, will have a conversation with her once the battle has been won. She will die shortly after this dialogue.

Can Alexios lead the Daughters of Artemis?

2 Alexios Can Become Their Leader Too

And third, they're all female. Yes, they're called the Daughters of Artemis because all of their followers use the bow like Artemis and are female like Artemis, it's a tad on the nose.

Should I save the farmer the wealthy woman or the girl?

A Heart for a Head

Come back to the man and tell him about everything. You can now choose who to pray to most - the farmer, a wealthy woman or a girl. The choice doesn't matter much - the quest will end and you'll gain +9300 XP.