Thinking about the teen wolf characters and their godly parents/relatives. This factors in their "main" parent and which god/desses they could most logically pull, but didn't intentionally factor in the gender of the god bc if gods can change into animals they can present as different genders/have kids however they want. It just happened to be straight oops.
Lydia: great grandaughter of Hades. Lorraine would be the daughter of Hades, which is where the banshee abilities originate, and gets passed down to Lydia. I also think she could be a daughter of Aphrodite/dionysus (Aphrodite for Lydia's understanding and manipulation of relationships and social status, dionysus purely for her being the best party host in Beacon Hills).
Stiles: son of Athena. This one feels a little obvious, since he's the strategist of the group, but I do think it's true. Even more than his role in the pack, his flaws also reflect that of Athena; his pride/confidence in his plans and suspicions whether or not they're warranted, and his tunnel vision are both fatal flaws worthy of Athena herself.
I didn't put a lot of thought into stiles and Lydia's lineage since they seemed pretty obvious, so I can accept alternate ideas. For Scott and allison, however, they are set in stone and no one can convince me otherwise.
Scott: son of Apollo!!! Melissa could pull any god/dess she wants but as a nurse she would attract him the most. Along with that, the werewolf ability Scott is most proud of is the ability to take pain away — as close to healing as you can get. He wants to be a veterinarian, and he's a literal ray of sunshine.
Allison: granddaughter of Nemesis. Gerard would definitely draw that energy in, and Chris and Kate represent the two sides of revenge; Chris represents the code of equivalent exchange (an eye for an eye = we hunt those who hunt others), while Kate represents the wrath and ruthlessness of revenge gone too far. Allison rides the line between these sides very closely, often falling into the latter in times of immense trauma and pressure. An alternate option would be Ares for the exact same reasoning.
This was fun to write out, if you have anything to add, please do! If you disagree with any of my reasoning please be nice about it lol.