It's your surgeon's responsibility to check that you are all right. He is responsible for your after-care. He has a duty of care for his patients.
That's what he gets paid the big bucks for.
Don't worry about being labelled a complainer. You have valid complaints and you do need to be pro-active for your own health's sake.
How would you feel if you did have a DVT, you ignored it, and it gave you a clot in your lungs?
I'm sorry to be blunt, but you are paying your surgeon, whether directly or through your insurance. He works for you, not the other way round. You need to report to him any health problems associated with your knee and he has a duty and responsibility to check them out. End of lecture!