Wow. I've seen train wrecks that were less messy than this.
Not because its Tai or Dora themselves, per se. Its Tai running off to get a straight answer from Dora. One), its the morning after, its only been a few hours since Tai's pep talk. Dora probably hasn't had that much to think about it and get her head around it, so Tai coming in the next day asking for an answer is not going to be the best way to start things off.
Two) We can discuss Dora's view of relationships until the cows come home, but we do know that she does need to get back in the saddle sooner or later. The thing is, should she be getting into a serious relationship now? Jim was one date and she realised that things felt a little weird. We know that Tai is getting tired of the one night stands with her dorm-mates and looking for a mature relationship, whether or not she is actually ready for such a relationship is also another part of it. Most, mature people in situations like that do tend to wait a full day before going off to get an answer.
Three) Tai calling Dora "wishy-washy"... Sorry but if you're interested in someone and you call them "wishy-washy" without really knowing them is really just setting things up to fail (and in all fairness, Tai doesn't really know Dora as a friend or a lover as Faye and Marten, respectively, have. All her interactions with Dora have come from group social events and environments. She has never just gone out for drinks with Dora, or gone to the movies with her or just simply hung out with her). So just Tai calling Dora "wishy-washy" after one night without an answer just smacks of an immaturity that indicates that Tai isn't really ready for a relationship.