spiro is a diuretic and is labeled for use in treating blood pressure. Using it in HRT seems to be an off label use, but whatever.
It shouldn't affect your E levels at all. Spiro is actually a general androgen blocker that binds to androgen receptors in your body. The sequestering of available receptors means that T has nowhere to bind, and should make your body think your blood levels of T are higher than they should be-- your body doesn't know that you're taking androgen receptor blockers, the feedback mechanism assumes that T binds to receptors, and whatever is left in the blood isn't really needed above a certain baseline level. Anyway, once the body sees that T levels are higher than necessary, that there's excess in your blood that's not binding to receptors, T production levels should drop a bit.
I believe there's a correlation between T levels and vasoconstriction (which can be one cause of high blood pressure. Can't recall off the top of my head right now.