Crossword Genius

Anticipate extra visitors without trace of trepidation (6-5)

Ross

I believe the answer is:

second-guess

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

'anticipate' is the definition.
(I've seen this before)

'extra visitors without trace of trepidation' is the wordplay.
I cannot really see how this works, but
'extra' could be 'second' (I've seen this before) and 'second' is located in the answer.
The remaining letters 'guess' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for second-guess that I've seen before include "Attempt to anticipate or predict" , "Anticipate (someone's action)" .)

I've seen this clue in The Times.
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