It may be a better question to ask if you're immature enough to date her. A relationship doesn't rise to the level of the more mature person, it sinks to the level of the less. Do you consider yourself mature? If yes, you should move along. Are you a little behind your peers? This might be great for both of you! The amount of life experience and growing up is so great during 19 to 25 is so much per year that for this relationship to really serve you you probably need to be meeting in the middle. The idea that she should have to be making the sacrifices of a relationship you have in your late 20s isn't really fair to her.

Unless she's had some very difficult life experiences, she's probably not ready to forgo the types of relationships you have at 19, 20, 21 and she may really regret giving them up later. Maybe you didn't have those relationships which is why you're pursuing them now? If so, it may be a good fit!

If your life experiences up until now are similar (dating experience, financial experience, independence, working experience) then this relationship is more likely to avoid a power imbalance, but because she's so young, the most likely way for these to be true is if you're behind. It's unlikely she's going to have years of living independently while working to support herself under her belt, or several long term relationships.

A date or three to learn all this about her isn't going to hurt! Have fun! But if you learn she's inexperienced compared to you in most things, it doesn't matter how mature she is, it's unfair to her to put her in a power dynamic where she has to advocate for her needs with less life experience than you in so many categories.