So I think I might be wrong about the hawkgirl matchup. Here me out guys, this might be in our favor now.
Whenever you connect a hook charge, whether it be raw or at the end of a combo (might not be known, but the advantage changes on hook charge if it hit raw or in the middle of a combo. I'm working on the timing for the mid-combo charge, so it might not work. It seems possible tho), you can stuff both wake-up mace charge and wing evade. Wing Evade gets stuffed before she's able to do one of her follow-ups. This trains her to basically never wake-up after we open her up, which leads to meaty shenanigans. The timing for stuffing her wakeups from a raw hook charge is easy, just wait for her body to stop sliding against the floor. And for mid-combo charge, you just do it as soon as you recover from hook charge.
And from low hook, if you do a neutral jump 1, it stuffs her mace charge and trades with wing evade 3. The neutral jump is pretty much safe considering she cannot trip guard you from that distance without putting herself in danger via mace charging. She may trade with us after wing evade 3, but it's pretty whatever. The reward she gets for doing that is 10% and we're both at full screen as opposed to our 45%+ combo with a safe trait load and we're in front of her again.
As for why this changes the matchup (imo): One of the things about Hawkgirl's wake-ups is that they change the momentum so much. Blocking a mace charge/mb mace charge means you're either in neutral or you're eating a lot of chip and you'll have to respect her for a period of time. Making her scared to do those wake-ups makes it really easy to abuse her, and that's always good. This is especially good for us because hook charge and low hook are arguably two of our most important tools.
tl;dr: stuff her wake-ups with hook charge. The timing from a raw hook charge is easy; input after she stops sliding against the floor. I'll edit my post with the timing for mid-combo hook charge. From low hook (DON'T MB IT, IT PUTS YOU CLOSER ON HIT), do neutral j1.
EDIT: Before someone shits on me, I haven't played a dedicated hawkgirl main to see if this matters at all in the matchup. I played Brad in a very short set against his Hawkgirl, who he plays on the side. So this could all mean nothing and the matchup can still be considered 5-5. But hey, optimism.