I used to think WW owned HG.
But after using WW a lot and going through the matchups, I no longer believe that.
WW vs HG is a battle for air and space control. HGs horizontal air mace throw beats out any of WWs air moves if HG does them first. From there, they may dash on the ground and do df3 which has a bit of range. But a diagonal mace toss beats it. Her ground db2 tiara toss is quick though. That's the one you watch out for.
In mid range, I used to think her B2 beat everything. But a well-timed WE evades it clean and you can bust her with WE2. Same with HGs MC. But it's a timing/read thing. You can get nailed if you read it wrong/times it wrong.
Up close, it's a matter of her b1 (+2 on block i think), d2, d12, 33 and sweep vs your d1, d2, and sweep.
The thing that gives WW the advantage over HG isn't really her air space control because I believe that's even. It's that WW does more damage when she connects in mid screen than HG.
If she connects a b1, 33, or a d12, that's 46% damage off only one MB.
If HG connects a d1, WE2, or even a F12, the best we can get is like...... What? 32%?