In army almost turn blind eye to married woman (7)

I believe the answer is:

signora

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'to married woman' is the definition.
(signora is a kind of married woman)

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for signora that I've seen before include "lady in Milan" , "European lady" , "Title of Italian-speaking woman" , "Italian madam or Mrs" , "lady from Italy" .)

I've seen this clue in The Times.

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