I have been going to the same doctor for about 5 years. He has seen me go up and down. I have asked him what he thinks of Atkins and he said, "Whatever it takes for you to lose the weight, go for it!!!"
I have high blood pressure and low thyroid and take medicine for the problems and am still able to lose weight on Atkins.
I have basically tried to stay on Atkins for about 2 years, have had some reasons why the weight has come back on, but when I stick to Atkins I still lose while on medication.
I have had people tell me that they can't do Atkins because they get depressed, etc. But I have never had any problems while on it. My daugther can't do Atkins because she really isn't much of a meat eater, she does well on Weight Watchers.
You just have to do what is okay for you. Whatever it takes for you to lose the weight.
Good luck and let me know how you are doing.
JAN