My daughter bought a PS4 Plus subscription last night but was on her fathers profile. Reading rules says no refund. I wondered if she could transfer or just rename his profile to hers because she's the only user? Just trying to solve the issue for her.
I'm surprised that you're unable to get a refund for your PS+ subscription. According to the FAQ, you're entitled to a (reduced) refund when you cancel your PS+ subscription.
You can find information on how to request a refund here: https://www.playstation.com/en-gb/get-help/help-library/playstation-plus/playstation-plus/playstation-plus-cancellation-policy-/
Alternatively if you added PS+ via a voucher, you cannot get a refund since the purchase was made outside the PS store.
In that case you can set her dad's account as master account and your daughter's account as a linked/sub.
The linked account will have access to the master accounts PS+ free monthly games and online multiplayer, the only feature that doesn't share over is the online cloud storage for save data backup.