Edema of the face, especially, under/around the eyes is very common with hypothyroidism.
Could you please post your current thyroid hormone levels, so you can see your actual status? Even though you're taking replacement hormones, you may not be on the correct dosage and could still be slightly hypo.
When you post lab results, please be sure to include reference ranges, since ranges vary from lab to lab and have to come from your own report(s).