Senator faked the bearing of a poet (3-4)

I believe the answer is:

nor-east

'bearing of a poet' is the definition.
(archaic or poetic term for north-east)

'senator faked' is the wordplay.
'faked' is an anagram indicator (I've seen 'fake' mean this).
'senator' anagrammed gives 'NOR-EAST'.

'the' acts as a link.

(Another definition for nor-east that I've seen is " Compass bearing".)

I've seen this clue in The Times.

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