Tore my meniscus in my left knee in two places the osteopathic Doctor that I went to said he did not feel I needed surgery that it would basically grind itself down, but I was going to be on crutches for a couple weeks first. My Family MD agreed but he added I needed to wear a rigid knee brace which I did. Both said take it easy and do not do anything to make it worse, basically I had a year without yoga or any other exercises that stressed my knee.
I a total of 1.5 years of crutches, rigid knee brace, cane, semi rigid knee brace and limping. I am now back about 90% but any yoga or other exercise that I do that will heavily stress my knee I still wear a semi rigid knee brace, which is better than a year ago when any exercise I did required a semi rigid knee brace
So there are Western Docs out there that will work with you without surgery but they are few and far between. I was just lucky I guess.
However both of these western MDs and one OMD I know all suggested for the first few months I do pretty much nothing that will stress the knee if I can avoid it
One very important thing to remember when you are dealing with a doctor, you are paying them and they work for you, so do not be afraid to discuss or completely ignore what they are saying if you do not agree. There are a lot of doctors out there and if you look hard enough you will eventually find a good one