If malar bags are the result of a thyroid problem, then do they improve with the appropriate medication?

Hi. I would really love to know if malar bags can be improved if the appropriate medication is prescribed for a thyroid problem? I am currently being referred to my local hospital for investigative tests, thyroid is only a potential possibility, but I have horrendous malar bags which have only appeared with the onset of other symptoms. They are taking over my life though as I work as a model and can't focus on anything else but how tired I look. I would also consider other treatments. Thank you.