Crossword Genius

Latin tutor’s admission of responsibility? (3,5)


I believe the answer is:

mea culpa

'latin tutor's admission' is the definition.
'mea culpa' can be an answer for 'admission' (I have seen 'Admission of guilt ' mean 'mea culpa' so perhaps 'admission' could also mean 'mea culpa'). I am not sure about the 'latin tutor's' bit.

I cannot understand how the rest of the clue works.

(Other definitions for mea culpa that I've seen before include "Total admission of one's guilt (Latin)" , "Admission of error (Latin)" , "Admission of fault" , "Old Roman admission of guilt" , "Acknowledgment of error or guilt" .)

I've seen this clue in The Times.
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