A request for another Apple ID password is often caused by updates to apps/purchases that were made when using the other ID. Those purchases are tied to the other ID and can't be transferred. One option is to delete the apps/purchases made by the other ID and download them using the new ID if desired. After deleting the apps, it may be necessary to restart the device/computer before you can download the apps again. If necessary, check your purchases history to see which apps/purchases weren’t made by the current ID.
Purchase History Review. *
Or you can try to set up Family Sharing between the IDs to keep access to your purchases.
Family Sharing.
ASC YouTube for Family Sharing
Family Sharing - Set up.
For the old ID password, if she forgot the Apple ID (iCloud) password, enter the Apple (iCloud) ID, and click Forgot Password. See if she can get a Rescue or Notification email option if necessary. Link to contact Apple Support at the end of the 2nd article.
Apple ID - Manage
Apple ID – Forgot Password *
If she has 2 Factor Authentication enabled, if she can't recover the password using the steps above, she will need to use Account Recovery. The Recovery Process is an automated process and the length of time it takes can vary a lot. Apple ID Support can only answer your questions. They can't intervene in or speed up the process. The article below has some suggestions to shorten the time the process takes.
Apple ID - Recover your Apple ID with two-factor authentication account recovery. *
