Salam Your wudu is broken if the blood spreads from the area of the cut. so wash the cut and remove water from the area and let it sit until it dries by itself as long as you don't perturb it it should dry sufficiently so it doesn't spread on its own. DO NOT APPLY PRESSURE WITH A TISSUE. leave it alone. even if it's still "wet" you're wudu is valid so long as you don't spread the blood around or cause it to run by applying pressure to the spot.
brother put an ice cube on the wound it will immediately stop the bleeding but if the cut is bigger you must go to the emergency