Alliance senator embraces (4)

I believe the answer is:

nato

'alliance' is the definition.
(I know that NATO is a type of global organization)

'senator embraces' is the wordplay.
'embraces' indicates a hidden word (I've seen 'embracing' mean this (the solution is embraced by words in the clue)).
'NATO' can be found hidden inside 'senator'.

(Other definitions for nato that I've seen before include "Military alliance, formed 1949" , "Military/political alliance" , "International organisation for collective security" , "US/Europe alliance" , "N. Atlantic alliance" .)

I've seen this clue in The Telegraph.

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