Which one is correct ?
She played the song repeatedly.
She replayed the song repeatedly.
Since the adverb repeatedly adds a meaning that something is done over and over again, should we use the verb play or this kinds of adverbs cause to use re-type verbs already for the sake of verb-adverb agreement?
In general, I'd use "played" here.
If she played the song at least once before the occasion you're describing here, then "replayed" would be appropriate - but "played" would still also be appropriate. Let's look at four examples:
Version 1: "She put on her new CD, and played the first song. I hated it immediately. She noticed this, and played it to torture me." - This is weird. Did she play it once, or twice? Is the second "played" the same instance as the first?
Version 2: "She put on her new CD, and played the first song. I hated it immediately. She noticed this, and replayed it to torture me." - This is reasonable! She played the song twice. The first time ("played") was just to hear it, and the second time ("replayed") was to torture me.
Version 3: "She put on her new CD, and played the first song. I hated it immediately. She noticed this, and played it repeatedly to torture me." - This is also reasonable! In this case the "repeatedly" essentially gives us a "set" of playings - that is, "played it repeatedly" means she played it some large number of times. You could argue that it's ambiguous as to whether that first playing (from the first sentence) is part of that "large number of times", but that doesn't matter - the sentence is understood either way.
Version 4: "She put on her new CD, and played the first song. I hated it immediately. She noticed this, and replayed repeatedly it to torture me." - This still works; it's much the same as Version 2. The only difference is that the second "instance" of playing involved playing the song several times: she played it once, and then she played it multiple times.
Again, this only works because we kind of have two separate acts of "playing" - the one in the first sentence, and the one in the last sentence. If we didn't have that first sentence, then yeah, "replayed repeatedly" would be redundant:
"She bought a CD with that song I hated on it. She knew I hated it, and played it repeatedly to torture me." We don't use "replayed" here because there's no earlier instance to repeat.
The answer might be, "neither". Another consideration is whether it's fundamentally the best way to describe this action. There are subtle connotations to consider between 'repeatedly', 'over and over [again]', and 'again and again'.
See google ngram: the same song over and,the same song repeatedly,the same song again and
The word 'repeatedly' is more curt, factual, and cold. While 'repeatedly' might be found in a physician's notes, 'over and over' (or some variant) is understood viscerally (through feeling) since it is a repetition itself.
In this case, be sure you actually want to use 'repeatedly' for it's connotations. Since it bucks the trend of using "over and over" it's a little jarring in it's clinical precision, especially in the context of playing of a song.
