Tenten isn't really a "girl". She's very strong (something that few people seem to understand because of stupid EFFING Temari) and she understands Neji & Lee. She doesn't fawn over Neji, and she wants to be stronger, and to be like Tsunade. She has a goal, like Neji, to become stronger. I think Tenten wants to prove to the world that kunoichi can be just as strong as shinobi (or is it male ninja?

), or better. Neji wants to show his clan/everyone that Branch members of the Hyuuga clan can be just as good as Main Branch members.
The fact that Neji and Tenten train together proves the fact that Neji beleives that Tenten can actually help him, and likewise for Tenten's feelings for Neji. The two are very close to canon, considering all of those things.