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Grudged
Yes. Unwillingly is an Adverb. Its antonym is a famous ballad written by Hank Cochran, "Willingly".
Unwillingly.
Chillingly Unwillingly
unwillingly
unwillingly
It would seem to me that the term "task" is more of an objective word in the sense that it takes work, to achieve a task
Work is a synonym for task.
An action of a voluntary nature although taken is not necessarily embraced by the doer. I asked her to clean the car, which she did unwillingly and therefore not very well. An invitation's arrived today; I don't like the people giving the party and though I'm obliged to go it'll be unwillingly. Our dog came away from the tree unwillingly, he hadn't finished sniffing it.
Given unwillingly
now you no why you are in traffic
the daliy task of a doctor is work and sometimes fun.