Chive Rust

A little gutted the other night as I discovered rust on my chives. This has come on suddenly and spread through the whole boarder of chives that surround my herb bed, the week of wet weather hasn't helped I guess. 

Rust spread through the whole patch

The chives are no more!

Evalyn loves picking the flowers when we're in the garden together and the bees go mad for them, but I've too many other alliums growing to risk leaving them in. I'm not looking forward to seeing her reaction when she sees they've all gone!
 I don't want it to spread to my garlic, onions, leeks and shallots so I pulled them all out and put them in my burning barrel. The chives are no more, it's a shame as they made a pretty boarder around the herbs and everyone said how nice they looked.
Anyone else have experience with rust on their chives or other alliums? Am I doomed to loose my onions as well due to them?