Particularly profound American not after girl from the east (7)

I believe the answer is:

abyssal

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'particularly profound' is the definition.
'abyssal' can be an answer for 'profound' (synonyms). I am not sure about the 'particularly' bit.

I don't understand the remainder of the clue.

Can you help me to learn more?

(Other definitions for abyssal that I've seen before include "Bottomless" , "Belonging to ocean depths" , "on the bed" , "regarding ocean trenches?" .)

I've seen this clue in The Times and The Sunday Times.

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