When surgery is covered but anesthesia isn't: Coloradans caught off-guard by out-of-network bills Major change affected one of the stateâs largest insurance companies KMGH-TV and last updated 2021-05-08 00:24:50-04 LITTLETON, Colo. â Shortly before her surgery at Littleton Hospital in February, Sue Henry got a call from her anesthesiologist to tell her he was out-of-network. âI thought it was completely outrageous. I didnât know until a week before my surgery,â Henry said. âI have an in-network hospital and in-network surgeon, and the guy in between thatâs going to make me comfortable is out-of-network.â She tried to find a less expensive option that was in her insurance network but said she could not find another anesthesiologist within 50 miles.