Nah, she got her point very well across. So did he, actually, by taking her hand.
He hadn't done it before, even though she was already all wobbly and lagging behind as they were walking. Since he's more or less a gentleman, the only reason why he wouldn't is that he was still trying to keep the amount of distance between them that he considered appropriate or prudent. She's been trying to get him to stop doing that for... probably multiple chapters, but especially this one.
By laying her heart bare about how big of a presence in her life he has become (her encounters with him being a major inspiration for her artwork) it seems she finally convinced him that her attraction to him was neither purely physical nor skin-deep. And while anything physical was out of the question since she was drunk, he could, in good conscience, signal to her that she isn't barking up the wrong tree. That's all she needed in the moment.