If you're worried about the opening taking too long... Hmm. Well, do you really need both WG being weird in the store and WG taking her to WW?

If WG saw the hounds were after her, that would probably be enough reason to rescue her and take her to WW without having grilled her about the missing guy? He could ask her questions during the ride there, to confirm suspicions, if you still wanted that sort of scene.