Would an abscessed tooth have sensitivity to hot and cold?

Yesterday after a nap I woke up with this excruciating pain in the second tooth to the right from my top teeth. It is extremely painful and very sensitive to anything touching it. I have read online and it sounds abscessed minus on major point, rather then being sensitive to hot to cold it appears to be relieved by it, especially if submerged in hot or cold liquid. To make it worse, I have no dental insurance, I have no health insurance whatsoever.