Low-stakes question, but it's a bit dead here today.

I'm overusing adverbs lately. Not sure what's wrong with me, but I'm trying not to worry about it since I'm rough-drafting. I'll definitely fix it in revision, but might as well restrain myself at least a little, so... today I wrote "He accepted the supplies gratefully," went Geez, another adverb and changed it to "He accepted the supplies with gratitude."

What say you? Right or wrong? And if I was right, what is it about the adverb form that's worse? Is it just that there's a Rule against it?