if you have dried it off by improving ventilation and reducing humidity it wil clean off easily. Even bleach will kill it.
If it is still damp then you still have a problem.
I prefer Cuprinol Green or Clear, the fence stuff may give off fumes used internally. Wickes may have an equivalent own-brand for structural timbers.
Oh no, I have bought this already? will it give off fumes/smells continuously in the long term or just whilst painting it?