We lost perhaps having this score? (6)
I believe the answer is:
lowest
'this score?' is the definition.
Both the answer and definition are adjectives. Perhaps there's an association between them I don't understand?
'we lost perhaps' is the wordplay.
'perhaps' indicates anagramming the letters.
'we'+'lost'='welost'
'welost' anagrammed gives 'LOWEST'.
'having' is the link.
Can you help me to learn more?
(Other definitions for lowest that I've seen before include "extremely vulgar" , "Nadir" , "Nethermost" , "Given maximum reduction" , "Furthest down" .)