ˌcold ˈcomfort noun [uncountable]
if something that is slightly positive is cold comfort to someone who is feeling very bad about a situation, it does not make them feel any better:
The drop in the unemployment figures is cold comfort to those still looking for work.

[TahlilGaran] Dictionary of Contemporary English ▲

cold comfort
no comfort at all
The government offered money to the victims of the fire but it was cold comfort to those who had lost their families.

[TahlilGaran] English Idioms Dictionary ▲

cold comfort
n. Something that makes a person in trouble feel very little better or even worse.
When Tim lost the race, it was cold comfort to him to hear that he could try again in two weeks.
Mary spent her vacation sick in bed and Jane's letter about her trip was cold comfort.

[TahlilGaran] English Idioms Dictionary ▲