Google Meta Descriptions

I recently published a site for a dog rescue and training organization. The SERP returned a meta description from the very bottom of the site page regarding dog intakes versus my set meta description. I understand this is not uncommon with Google and is often based on terms used to search. I updated my description today and republished but in the event what I’ve done doesn’t take hold, has anyone worked with Google’s data-nosnippet directive? I know very little code so: does it work and where would I input the code? Thanks!