One study showed that patches (higher than typical dose) administered in transgendered women, of whom a few were predisposed to developing clots, did not lead to any incidences. They weren't taking any blood thinners, as far as I know.
Another study, in men with prostate cancer, aged 49-91 yrs old, had them on patches (with levels in the 400-600 pg/ml range) and yet, not only did the researchers observe no clot incidences but a reduction in risk based on blood meaurements, concluding that taking bio-identical estradiol this way might protect against the risk of deep vein thrombosis.
Estradiol taken transdermally mimics the way in which women get their estradiol naturally and we know that during pregnancy, when levels of estradiol reach levels as high as 75,000 pg/ml, the risk of DVT remains low, at 0.1%.
So, you should be fine. The risk of clots from transdermal delivery of bio-identical estradiol appears to be negligible.
If estradiol were so dangerous, then all ciswomen should be taking blood thinners. Doctors and the public at large often confuse estrogens, put them all in the same category and generalize findings from other types of estrogen to estradiol.