In the process of going down, first sound coming out was quite crude (8)
I believe the answer is:
indecent
'quite crude' is the definition.
'indecent' can be an answer for 'crude' (thesaurus). I am not certain of the 'quite' bit.
'in the process of going down first sound coming out' is the wordplay.
'the process of going down first sound coming out' becomes 'decent' (I can't explain this - if you can you should give a lot more credence to this answer).
'in'+'decent'='INDECENT'
'was' is the link.
Can you help me to learn more?
(Other definitions for indecent that I've seen before include "Gross, unbecoming" , "Gross, obscene" , "Immodest, gross" , "Offending against modesty, obscene" , "Smutty" .)