Simple thermodynamics. In order to achieve stealth, you need to have 100% thermal insulation. There is no other way. Now what happens when you have a machine that is outputting heat and absolutely zero heat can escape. You're going to have a piece of slag flying through space in a short while.
Also, you need to match the temperature of whatever magical device you have that can insulate 100% of heat output from the ship to the temperature of outside space, namely 2-3 degrees Kelvin. Of course, this means that the heat from the outside shell (being heated by solar radiation and other radiation) also has to go somewhere, and considering you want stealth, you also cannot vent that, so even more heat needs to build up inside that shell.
Also, in order to vent heat in a way that is fast enough to matter, you need GIGANTIC radiators. The doors in the Space shuttle arne't there to just open up for the satellite, they are heat sinks for the shuttles systems, so as soon as you want to vent, you have to unfurl giant radiators to slowly release heat. Also, by doing this, you're also ensuring that whatever people who are looking for you is able to get a pretty decent idea of exactly where you are going assuming you don't make course corrections, which then they will also pick up and figure out where you are.
So yeah, unless you can somehow make heat magically disappear, you're going to light up like a christmas tree in space.