I am old fashioned in my parenting ways and am no fan of phones. BUT, I am very surprised your DD doesn't have a phone. My DD had one from age 11 onwards as she got the bus to school. DS is 10 and he will be getting one on his 11th bday.
What I did, rules wise with DDs phone:
No TikTok or Snapchat allowed, even now she is 16 (learnt this one on the go and put this rule in after I saw a few things on those apps I wasn't happy with)
No electronics in her room overnight, phone charges in living room
I have full access to the phone and checked it every day (less so now she is older and I know she uses it appropriately)
She has had periods of up to 2 weeks where the phone has been confiscated (even tho she gets the bus to school, I still confiscated it for school journeys too)
Put time limits on how long she's allowed on it for
At one point we went on holiday for a fortnight and she had to leave her phone at home because I thought she'd enjoy the holiday better without the phone.
I would say as long as you have strict boundaries and rules, AND as long as you check the phone every day, it'll be ok.