Hydrangea won't bloom!

My hydrangea is the type with coarse leaves. I believe it is a tea cup hydrangea.
i have had it for 20 years. It is inthe south part of my garden. It receives afternoon sun. It has only bloomed one time years ago with the flower on the very bottom of the plant. The shrub is very healthy and green. I have fertilized it, put acid fertilizer on it, and bug sprayed it. My husband cuts the dried sticks on it every year because he insists they are dead. What else can I do?
Charlotte in West Falls, NY

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