It is a good sign that the ball is gripping your hand when it rubs there, most bowlers develop a callus there so it will take some time and pain unfortunately.
Your span might be a tad too long which will make it rub more. To check your span start by placing your thumb in the hole and laying your fingers across the holes with your hand relaxed, the front edge of the holes should be no longer than 1/2 way between the first and second knuckle of your fingers, if you have to stretch your hand to achieve this, then the span is too long.
Other than that I would suggest not bowling again until it heels to the point that you aren't bleeding and have your grip checked by the people in the
Pro Shop. Once the callus develops the pain will go away and you will be good to go.