Maybe if you slice up disorders into arbitrarily small groups, you can get "anxiety" to the 2nd leading cause of death?

But, generally, I've seen mortality causes listed as something like (1) cardiovascular disease (2) cancers.

Googling directly for "where does anxiety rank as a cause of death" the answer is something like "it's rarely the proximate cause of daeth, but is associated with higher all-cause mortality"