Bowtie is right.. after 2000s, GM started making fuel filters obsolete; going with a screen in-tank/mesh nylon, integrated with the pump assembly; and BOTH are 'supposed' to be non-service items for life of vehicle (200k).. but us who love our vehicles, don't trade in 5yrs... anyhoo,
Stealthee is correct as well; even with ALL computer controls now, it is still an internal combustion engine: air/fuel/spark..
pop the element off and try cranking; a clogged/gummed up filter could be (probably not, but..) now, while it's off/open, spray some intake cleaner down the throat, and turn the key; and if she fires, then great.. but if not, you are moving to spark..
hope this helps..
oh, and by the way;
i think 08-12 equinox and terrain used same 'made in germany' bosch hi pressure valve..
so on your manifold, near fuel rail, you should have pressure point..
https://imgur.com/a/CqOyqcR