Crossword Genius

Bother — nearly late for lift (4)

Ross

I believe the answer is:

drat

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

'bother' is the definition.
(exclamation of annoyance)

'nearly late for lift' is the wordplay.
I cannot really see how this works, but
'late' could be 'd' and 'd' is located in the answer.
The remaining letters 'rat' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for drat that I've seen before include "Curse it!" , "Bother" , "Expression of mild annoyance" , "Expression of annoyance on DART" , "Darn it!" .)

I've seen this clue in The Guardian.
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