Hi
1) Hot flashes are caused by hormone fluctuations. Our bodies store estrogen while we still have our ovaries. When our ovaries are removed, then our bodies will use up the stored estrogen. So, until that supply is used up, no matter what HRT you are using, there is a chance of hot flashes.
2) A "normal" thyroid level on any test, is what is normal for the average person. So, you can fall within the established normal ranges, and still be low or high for you.
You might want to check with an endocrinologist for testing. They are the hormone experts, and thyroid is a hormone.
3) Estrogen and thyroid, both being hormones, have an affect on each other, especially when one is lowered or raised. It takes someone very knowledgeable in endocrinology to get these balanced sometimes. You don't necessarily need an endocrinologist, but someone with a good interest in learning and keeping up with endocrinology.
Now, you have had 2 surgeries in 5 months. I was easily tired for a fulll year after my hysterectomy. You have 2 surgeries to recover from, and your Dr seems to have reason to suspect that you might be anemic, since she told you to take iron supplements.
I would suggest that you find a Dr who is knowledgeable about surgical menopause and thyroid issues.
Take care of yourself, get plenty of rest and water. It is still important.

,
Kay