What happens if you inject cool blood into humans who were in a hot room

So, humans are sitting in a room which is above the body temperature of 37C. Blood cooler than 37C is injected into their bodies. What happens next?

Thanks.

Well, first off, you'd have to know if the blood types matched, otherwise you could get a clot. But following that, it would be similar to having a cool IV-the fluid in the body would become a bit cooler, so boodflow would be concentrated to the inside to keep blood warmer. However, since the person is already in a hot room the core temperature would remain at 37 degrees celcius, and over time (since the heart is inefficient, that is, it releases thermal energy upon pumping actions) the body temperature would stay at 37 degrees celsius, and, if the temperature in the room was warmer, the blood might flow back to the skin to release thermal energy again.

A wild Snorlax appears.