Well most words rhyme with some other word don't they? I think the chlamidya thing is a bit contrived.
It's a beautiful classic name, far nicer than many names that currently in the top ten.
Bemused by the person who said 'frumpy', in what way is it frumpy? Doreen and Edna are the sort of names that are considered 'frumpy'. But even they will probably come back some day. Lydia is timeless.