She had to acknowledge that her mistake was her fault.

to recognize the existence or truth of something
Please acknowledge receipt of this email.
I acknowledge your help.
He acknowledged the crowd's cheers.
acknowledge receipt
acknowledge a mistake
acknowledge the truth
accept
recognize
admit
Please acknowledge my presence when you arrive.

To recognize the existence or truth of something, often in a formal or polite manner.
I acknowledge your help.
She acknowledged the mistake.
They acknowledge the new rule.
acknowledge receipt
acknowledge the fact
acknowledge someone's presence
admit
recognize
accept