Dating isn't at the top of her list of concerns atm because she's turning into a ghost and it's freaking her out, but honestly, it wouldn't take much to push her in that direction BECAUSE she's turning a ghost etc.
Like. I don't think making a move would occur to her, but likewise, if Alfred or Norman made a move, she'd think about it for like five whole minutes, then yeah I only have this body for a few weeks, better use it.
(I know she'll still be able to go solid, but she keeps hearing these horror stories of total isolation when the info page and faq are actually a lot less severe sounding)