Oral estradiol is extremely safe. I am on it and my dad had.a portal vein thrombosis. I am active, eat healthily, don't smoke and am not worried about it at all.
The data showing increased risk of blood clots with oral estrogen was virtually all from synthetic estrogens combined with synthetic progestins.
Whilst there may be a marginally increased risk of clots with oral estradiol vs transdermal, this can be minimised by using either micronised progesterone or dydrogesterone.
Alternatively there is tibolone, which is a slightly different oral compound that has NO increased risk of clots.
You could also get a thrombophilia screen to put your mind at rest - this blood test checks for genetic tendencies to clot.
If this is negative, and you are a healthy weight, especially if you have had other "tests" in life such as pregnancies or being on birth control without developing blood clots then I wouldn't worry.