Like it was said before, you could not pull blood out of a creature because you cannot see it.
You could freeze the blood. You could stop bleeding. You may argue to do this in order to stabilize a person dying with disadvantage if you don't have a medical kit. It won't do any damage though because you are only freezing the blood against their body and not freezing any body tissue. I mean people put ice against your skin to treat swelling and injuries... Direct ice to skin contact takes a long time to cause damage.
There is generally plenty water especially if you carry a flask or two around and keep a create water spell ready for special circumstances. There isn't any real advantage to using blood over water. Also, if there is a lot of blood in a fight you are probably near the end of it.
Probably the only thing you might use blood for is a very specific situation where you are in dire straights and have no water. Maybe you are stuck in a cell with no equipment and there is something you need to do like breaking an old weak lock. You pour blood into it from your body and then freeze it to try and weaken it before you bash it with a rock.
Alternatively, you could have blood in the lock and when they unlatch it and then try to latch it again, you could try to freeze it before it latches all the way. It will be stuck and appear to be latched but it will only be frozen in place and in an hour it'll unlatch when it thaws.
Keep in mind it is a utility spell, not a combat spell. The most use you would get in combat would be trips, slips, falls, walls, and disarms. An example is, you could freeze a bloody sword if they missed and hit something and when it made contact you froze it. They would likely need to make a strength check to free the sword or just go to a different weapon.
Another situation might be that you lost your shield and are bleeding to death so you shape and freeze your blood into a simple round shield to give yourself what little protection you can.
It's mostly up to the DM though so the key is to make it fun. Don't abuse it and overuse it and hopefully they will give you some leeway.