Sharing Apple ID

Stop sharing Apple ID.

Apple ID is for one person only that can have many devices.

It is not meant for more than one user.

Get her an Apple ID for herself and if she's underage, read here => Family Sharing and Apple ID for your child - Apple Support

This can only occur if you are sharing an AppleID - which you should not do.

You and your daughter should not be using the same AppleID - as doing so will result in unwanted information sharing, privacy issues and potential AppleID account lockout. It follows that your Photo’s (and other personal information) and Keychain will potentially be visible and/or synchronise with devices that use your personal AppleID.

The Golden Rule: Don’t share an AppleID between users. Each user should have their own AppleID for their own exclusive use - linked to their own primary email (and secondary/recovery email addresses and trusted telephone numbers). Sharing an AppleID causes multiple practical and data security issues.

You would be best advised to separate your digital identities and configure a new AppleID for each of your children:

How to create a new Apple ID – Apple Support

Should you wish to do so, you can continue to selectively share purchased Apple Services, Subscriptions, Apps and Media using Apple’s Family Sharing features:

Family Sharing - Apple

Set up Family Sharing – Apple Support

Share App Store, iTunes Store and Apple Books purchases with Family Sharing – Apple Support

https://www.imore.com/how-set-up-family-sharing-iphone-ipad

Once you have completely separated your AppleIDs - and are each using your own unique AppleID to sign-in to iCloud services (such as Photos in iCloud) - then yes, you can safely delete unwanted photos and files from your own devices.

When your daughter is signing-out from your AppleID, she will be presented with a choice - this being to save a local copy of iCloud data, or not, for each of the iCloud services...

You need to carefully consider the implications of saving individual data sets. Any data that is “saved” will subsequently be merged with the new AppleID account. If saved, unwanted items can later be manually deleted, bit this can be a painstaking exercise - in particular for Calendar entries. Be particularly mindful of the Keychain - as this will likely include your website passwords.

Your daughter is likely to want to keep her photos. You, however, may not want your Calendar, Contacts, Reminders, Notes, Messages, Keychain etc. to be saved to your daughter’s iPad and iCloud account.

I hope this additional information and insight is helpful to you.