Feel so bad catching a cold, be humiliated (4,4)
I believe the answer is:
lose face
'humiliated' is the definition.
(I've seen this before)
'feel so bad catching a cold' is the wordplay.
'bad' is an anagram indicator.
'catching' means one lot of letters goes inside another.
'cold' becomes 'c' (eg on taps).
'feel'+'so'='feelso'
'feelso' with letters rearranged gives 'losefe'.
'a'+'c'='ac'
'losefe' placed around 'ac' is 'LOSE FACE'.
'be' is the link.
(Other definitions for lose face that I've seen before include "drop in standing" , "Suffer a drop in prestige" , "be shamed" , "Suffer humiliation" , "Idle one's time away" .)