Welcome! You’ll likely get as many different recommendations as responses.
May I suggest looking at some reviews on YouTube. Search Ed Ting.
See also
https://www.scopereviews.com/begin.html
There are many choices from short 80mm refractor to long 80mm refractor to short Newtonian (130mm) to longer Newtonian, 6” f8 to compact SCT or Mak. Then there is the mount; basic Alt-Az, equatorial, motorised, computerised.
Problem at the present time is that supply is low and prices are high both new and unfortunately used but used may be your best option for getting the most for the money.
I’d recommend visiting a telescope store if possible. If not an astronomy club. (Covid makes this difficult). A star party is great but again not in covid times.
I personally prefer non-computerised and a good star chart to get familiar with the sky but everyone is different and some people prefer just looking into the eyepiece and letting the telescope do all the work. if going computerised make sure you have manual override for when the batteries fail or you just want to point the ‘scope yourself.
Whatever you choose, I hope you and your daughter enjoy it greatly.