Balancing out saffron taste, chlorine/latex taste
Searching for information about the taste of saffron, it seems that there are two camps - saffron that tastes of chlorine or plastic, and saffron that tastes/smells indescribably like saffron, perhaps earthy or like hay. Although it can taste bitter when used in larger amounts - e.g. a dash rather than a pinch. Some people find it can taste metallic or "hospital-y" which does match with the chemicals found in saffron, rather than this being a reault of an filler or fake-ness.

From Wikipedia (but they give no references) "Saffron's aroma is often described by connoisseurs as reminiscent of metallic honey with grassy or hay-like notes, while its taste has also been noted as hay-like and sweet."

So yours is possibly mixed with something or not real saffron. Or maybe you are using too much - the amount needed depends on the purity and grade.
Therefore, the way to balance out or mask the flavour is probably to get real saffron or use less. If you are asking how to balance it in a dish you have already made, this is obviously not so useful!
The other thing is that if you want the colour but not the taste, you can use turmeric.

How expensive was yours? And was it powder or threads? It is generally recommended that to get the threads for better taste, and I imagine these are harder to adulterate.