Crossword Genius

Current temperature lower than doctor provided (5)

Ross

I believe the answer is:

drift

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'current' is the definition.
(can be similar in meaning in navigation contexts)

'temperature lower than doctor provided' is the wordplay.
I cannot really see how this works, but
'temperature' could be 't' (abbreviation) and 't' is found in the answer.
'doctor' could be 'dr' (abbreviation) and 'dr' is present in the answer.
'provided' could be 'if' (eg 'provided it's sunny' means 'if it's sunny') and 'if' is found within the answer.
No letters remain.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for drift that I've seen before include "go with the tide" , "General trend - current travel" , "wander from place to place" , "Large heap (of snow)" , "aimless" .)

I've seen this clue in The Times.
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