Just call it rock and be done with it; don't get hung up on labels.
I had a friend who was a very good singer and songwriter who occasionally performed live in his living room for his friends. He was too insecure to make anything of his abilities, and when coaxed into playing at a supper-club utterly failed due to a complete lack of people skills.
The first time I heard him play, I asked who wrote a specific song and was surprised that it was his own. I asked him what it was titled.
"I haven't titled it yet...still thinking about it."
"Oh, well when did you write it?"
"About fifteen years ago."
"Damn, Bob, that's a great song; why don't you just go ahead and give it a title?" and I continued to urge him, and to make obvious suggestions, explaining moreover that had I written a song that good, I'd certainly have titled it by now.
"Your 'Rainy Day Pictures' is pretty good."
"Now you're just trying to change the subject. You've had fifteen years to think about it, why not go ahead and give it a name tonight?"
"Hey, that's just too much pressure for me; I need more time, ease up, okay?" he replied with a laugh. Bob certainly wasn't hung up on labels, nor even titles, for that matter.