#1 is correct and natural. "to have hypertension" is a state.
#2 is unnatural in the context of hypertension. "to have hypertension" is not an incomplete action.
Normally, the present perfect refers to an ongoing state or a repeating action.
Mrs. Ryan has been married since 2015. (ongoing state)
Mrs. Ryan has baked cookies every Saturday since 2015. (repeating action).
Normally, the present perfect refers to an ongoing action.
Mrs. Ryan has been baking cookies since noon. (incomplete, ongoing action)
There are other uses of the present perfect and the present perfect continous, but this brief answer just applies to the question about Mrs Ryan.