But not like that.
Even Sabretooth (movie version) did not make him bleed or have him that close to death.
LDS kept pummeling him in his back with her claws. He could not breathe and was bleeding out from his back with the many multiple claw strikes and even when he went into the water, she was under him and just kept stabbing his back with 10 claws.
There was not a second for his healing factor to kick in without her applying more damage to him.