New queen accepts burden - no trips for her? (3-4)

I believe the answer is:

non-user

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'no trips for her?' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'new queen accepts burden' is the wordplay.
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'queen' becomes 'ER' (abbreviation for Elizabeth Regina).
'accepts' is an insertion indicator.
'burden' becomes 'onus' (synonyms).
'n'+'er'='ner'
'ner' enclosing 'onus' is 'NON-USER'.

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I've seen this clue in The Independent.

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