Garlic & Chrysanthemum Rust

Hello,

I planted my Autumn Garlic a couple of weeks ago and it has started to show growth.
However they are planted alongside some Chrysanthemums in a Raised Bed and it seems even after removing all the affected leaves on the Chrysanthemum's a few weeks ago, Chrysanthemum White Rust has returned.
Is my Garlic safe alongside them or am I best chucking the Chrysanthemums out straight away? Problem is the flowers on them look lovely so it would be a shame, but I don't want my Garlic to be affected.

You can see how badly they are affected on this photo.

 Thanks in advance!