I would vote for the Squier CV 60's Tele. I have the Squier CV tele and a MIM player tele. The Squier (or at least the one I bought) feels like a much nicer guitar than the MIM Fender. It just does. The Fender has nicer electronics if you open it up and look, but honestly the Alpha mini pots feel nicer/smoother than the CTS pots in the MIM Fender and work exactly the same. The switch is not as nice in the CV, but serviceable. Will they last? IDK but the pots are $6 bucks a piece and the switch is $10, so that's a problem for future Chad Fuck.
The one catch is that I would absolutely only buy the Squier used. You know what you're looking at so you'll be able to get a nice example. I think I paid $280 (it's pristine) and I don't think it'll ever depreciate from that number. Use the rest to buy her the nicest amp that fits the remainder of your budget. I know for a gift that's not as ideal, but you'll know if that would matter to your daughter.
If you buy new, I would absolutely get a Fender. Resale, the name on the head stock, 22 frets, just need a setup (which you could do together with her)
Conversely have you/she thought about a SG? Small/light/contoured body/thinner shorter neck. I took my daughter to checkout/try out guitars fully expecting her to choose a strat. After a solid hour and a half at the store holding/playing everything she could get her hands on the SG was all she wanted because it fit her more comfortably.