Ms Blackman's high esteem in America (5)

I believe the answer is:

honor

I'm a little stuck... Click here to teach me more about this clue!

'esteem in america' is the definition.
'honor' can be an answer for 'esteem' (I've seen this in another clue). I'm not sure about the 'in america' bit.

I can't explain the rest of the clue.

Can you help me to learn more?

(Other definitions for honor that I've seen before include "-- Blackman, English actress" , "US honour" .)

I've seen this clue in the Evening Standard.

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