Diana,
I thought a bit more about your post. In your case, weening of the medication probably doesn't apply. This is probably a short term deal while you recover. I don't think a doctor can monitor anything. I would think blood thinners are a "preventative" medicine, to prevent clots, in conjunction with your surgery. There is nothing to monitor in terms of a doctor taking you off them. Everything else I said still goes though. Keep practicing as you feel, compliments your recovery time. Qigong will not endanger you in any way. Work within your limitations.