Nope. Even Mine's shot couldn't tag Kurome after he was extremely weakened to the point where she couldn't summon a single puppet (Doya) excluding Natala who was already out. A healthy rested Kurome will have no problems evading Susano'os attacks due to her superhuman reaction time and speed.
She keeps Doya with herself as well so he'll have to deal with Doya, Hentarr (Ghost dude) and Natala along with Destaghoul. It's only a matter of time before the rest of the puppets come there as well if Kurome doesn't already summon them there at the start, that is since she can summon her puppets to wherever she wants.
Susano'o will have to deal with Destaghoul's blasts which he won't be able to reflect due to being tagged by either Natala, Hentarr or Doya from the side. If he goes for them, then he gets tagged by Destaghoul or Kurome. It's simply too difficult for him especially since Kurome was capable of sneaking up on Leone despite Leone's could hear better than a human or Susano'o and chopped off her arm. The same could happen here with Susano'os head going off.
If he cuts down a puppet, Kurome becomes stronger and stronger all while he'll be losing time trying to take down at least one puppet since he'll constantly be tagged by another puppet if he goes for one from a side and it's only a matter of time before his SSJ3 mode runs out.