Newborn issue given Welsh name (7)
I believe the answer is:
Here is my best explanation:
'welsh name' is the definition.
'newborn issue' is the subsidiary indication.
'newborn' becomes 'bron' (anagram of born - new ordering).
'issue' becomes 'wen' (a wen is a growth on skin and personal issue**).
'given' is the link.
(Another definition for bronwen that I've seen is "girl".)