The phrase "acknowledge herself" is correct and usable in written English.
It can be used in contexts where someone is recognizing or accepting their own identity, feelings, or achievements.
Example: "In her journey of self-discovery, she learned to acknowledge herself and her worth."
Alternatives: "recognize herself" or "accept herself".
"It's something that she didn't even want to acknowledge herself.
Upon realizing that Homer has come into some money by betting against her in the tournament, Lisa gets angry at him and refuses to acknowledge herself as Homer's daughter, even going so far as to take Marge's maiden name and start calling herself "Lisa Bouvier".
When my sister got on the phone, I told her how incredible it was that my niece could really celebrate and acknowledge herself, at an age when young girls often begin to dim their light to be accepted and not perceived as "conceited".
She is a servant and she acknowledges herself as a servant.
It shows her in the face of tragedy behaving like the data-driven A-student type she acknowledges herself to be: seeking out the supporting studies and statistics that show how best she might serve her kids in order for them survive, and even thrive, in the context of their mutilated family unit.
Written before the swinging 60s had taken hold, Gerry Goffin and Carole King's song managed to be both taboo and prescient (as the decade progressed, the lyrics seemed increasingly to question its liberal mores, something King acknowledged herself when she recorded it for Tapestry as a wiser woman).
Finally, she mustered the wherewithal to acknowledge to herself that she was trans.
A woman who is "never angry" might regard all the anger in her marriage as coming from her husband; indeed, she might provoke him to express a rage she cannot acknowledge in herself.
The point they make about Laney is that it doesn't matter that she's so clearly a beauty when she's unable to acknowledge it herself.
It's his stating what she has already acknowledged to herself, what she was considering acknowledging to him, that definitively tips the scales the wrong way.
Once back in her office, Karen acknowledged to herself that she'd been getting little pleasure from her work in the past several months.
