Not a bad first try- the exposure is good, and the background is mostly non distracting, so your subject is clearly the focus of the shot..
Please don't take this critique too personally- I realize this is your daughter, and she is very lovely! But looking strictly from a photographic standpoint, I did notice several things to keep an eye out for in the future.
1) The focus is a little soft on her face. It almost seems a bit like you have her lower arm in more sharp focus than the eyes- could be a matter of adjusting your focussing mode, or just practice.
2) It was a good, traditional portrait pose- to have her hand resting lightly on her cheek, but you have to be careful. It's best to ask your model not to actually "push" on her cheek with her hand, but just to bring her hand up to her face as close as possible without actually pushing... Otherwise you get the effect like your picture shows- with the face all scrunched under the pressure from her hand instead of smooth and even.
3) Her elbow is resting on something, but the way this image is cropped, it really cuts her out too much. Since her weight is rested on that arm, it seems very awkward to chop the arm out of the frame.
4) The orange-ish nail polish is a bit distracting, especially so close to her eyes, which you want to be the main focus.
5) The background is tilted far too much, there is sort of a pillar cutting right through her back and sticking out of her body which is awkward. I would try to play around with shooting from different angles and just being more aware of when objects are sticking out of your subject. Use your environment to help compliment or frame the subject, not detract, obstruct, or interfere.
6) This one is going to be VERY important, especially if you want to begin photographing OTHER people's daughters. The angle you took this from is very very unflattering when it comes to blouses or shirts with a low neckline. Having that gap of fabric under her armpit to the left of her necklace, is very unflattering... It makes her clothing look too loose and draws attention to her chest. Maybe this is just my opinion, speaking as a mother myself.. But I would not appreciate a picture of my child showing her chest at that angle.
Those are the main things that stood out to me, I apologize if the tone seemed to harsh! But portrait photography is meant to bring out the best features of a person- to capture them as they are in my opinion, without subtle flaws that can easily ruin a shot. It's the subtle things to always be on the look out for- watch everything in your frame and consider other possible ways to catch the personality of your subject. I would also add, her expression seems a bit dull.. Kind of like she'd rather not be there having her picture done, or she's a bit annoyed. It's a good idea to engage your subject and to catch expressions that show more of there personality.
That's just my opinion, take it or leave it- but overall I think it's a nice picture, and as a mom I would definitely keep it in my family album =)