Crossword Genius

Have financial obligation reportedly for this woman (6)

Ross

I believe the answer is:

odette

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'for this woman' is the definition.

I don't understand the remainder of the clue.

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(Other definitions for odette that I've seen before include "Part of Swan Lake" , "Female character Swan Lake" , "Swan Lake role" , "Lover of Swann" , "------ Churchill, French war heroine" .)

I've seen this clue in The Irish Times.
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