You're not going to get anywhere near $20,000 (IMO), because you don't have the prefered spelling of the word.
The prefered spelling is:
anesthesiology.com, without the a.
Consider that anesthesiology draws 325,000 results on Google, while anaesthesiology draws only 49,200. A scrupulous buyer will know the difference.
But I still like it. My realistic appraisal hovers around $2k, $5k max.