I recommend Daejeon Woori Hospital in Tanbang-dong.

My mother had a bad knee a while ago, so she went to this hospital. Rather than trusting the Google reviews, I went quickly because I was in a hurry. They even treated me until 5 p.m. on Saturdays. The biggest advantage, though, was that they seemed to offer same-day surgery. Of course, my mother didn't have to undergo surgery, but please keep that in mind. ^^ She got physical therapy and took medication, and she felt better. If you're sick on the weekend, visit Daejeon Woori Hospital!