Lan, W was receptive of me dropping the kids off. I also sent some stuff from the house that earlier she'd asked D11 to "steal". She actually called the next morning and left a thank you message on my answering machine.
I would say you need to develop even more positive interactions with W, this kind of thing is a good start. Listen to things W has said to you in the past and turn them into positives, this is one example.