Singer from Dorset, possibly, with skin blemish (3,7)
I believe the answer is:
rod stewart
'singer' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.
'dorset possibly with skin blemish' is the wordplay.
'possibly' is an anagram indicator.
'with' says to put letters next to each other.
'skin blemish' becomes 'wart' (I've seen this before).
'dorset' anagrammed gives 'rodste'.
'rodste'+'wart'='ROD STEWART'
'from' acts as a link.
Can you help me to learn more?
(Another definition for rod stewart that I've seen is " Worst dater (anag) - singer".)