Crossword Genius

Problem with hotel Keir sorted out for traveller who doesn’t pay (10)

Ross

I believe the answer is:

hitchhiker

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

'for traveller who doesn't pay' is the definition.
'hitchhiker' can be an answer for 'for traveller' (hitchhiker is a kind of traveller). I'm not sure about the remainder of the definition.

'problem with hotel keir sorted' is the wordplay.
'problem' becomes 'hitch' (a hitch is a problem or difficulty).
'with' indicates putting letters inside.
'hotel' becomes 'h' (phonetic alphabet: alpha, bravo, charlie etc.).
'sorted' indicates an anagram.
'keir' with letters rearranged gives 'iker'.
'h' inserted inside 'iker' is 'hiker'.
'hitch'+'hiker'='HITCHHIKER'

'out' acts as a link.

Can you help me to learn more?

(Other definitions for hitchhiker that I've seen before include "Itinerant" , "Traveller" , "beggar who may get lifted?" , "Thumb-raising hopeful" .)

I've seen this clue in The Times.
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