An action done begrudgingly means that someone does something reluctantly or with a lack of enthusiasm. They might even complain about it.
When we say "begrudgingly," we usually mean that someone is doing something they don't want to do, but they're going along with it anyway. For example, your friend asks you to help them move and you agree begrudgingly because you were really looking forward to relaxing at home instead of lifting heavy boxes. Or, a teacher assigns an extra project to the class, and students do it begrudgingly because they think it's unfair or boring. Sometimes we use "begrudgingly" when someone is giving credit or praise to someone else – like saying that a boss was happy to give their employee a raise begrudgingly, implying that they were only doing so because they had to, not because they wanted to.
In a begrudging manner; in a manner that is envious or reluctant.
