My husband is a bleeder. I put blankets, clothing, whatever is saturated in blood in the washer with a lot of ice cubes and wash it on cold water cycle ... the blood comes out!
He has bled profusely - several times - on the carpet. I wrap ice cubes in a wet old towel and scrub the carpet with it ... the blood comes out!
We often soak small items that have blood on them in cold water with ice in it.
If I have a small spot of blood on fabric, I rub it with an ice cube or several cubes ... the blood comes out -- totally!
It is handy if you have at least one refrigerator that has a working ice maker.