Right name, possibly, for traumatic experience (9)

I believe the answer is:

nightmare

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'traumatic experience' is the definition.
'nightmare' can be an answer for 'experience' (I have seen 'Horrifying experience' mean 'nightmare' so perhaps 'experience' could also mean 'nightmare'). I am not certain of the 'traumatic' bit.

'right name possibly' is the wordplay.
'possibly' is an anagram indicator.
'right'+'name'='rightname'
'rightname' is an anagram of 'NIGHTMARE'.

'for' is the link.

Can you help me to learn more?

(Other definitions for nightmare that I've seen before include "Terrifying experience" , "Awful experience" , "terrible experience" , "dreadful experience" , "Scary nocturnal fantasy" .)

I've seen this clue in The Times.

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