The US will end up with probably 600,000 death of Coronavirus by the end of the year, whereas Europe might only have 300,000 total. The only European countries that really screwed up with their Coronavirus responses were the UK, Italy, Spain, and Portugal. The rest of Europe isn’t in that bad of shape to be honest with you due to the fact that lockdowns and stay at home orders were strictly enforced. I would say that Italy, Spain, and Portugal botched their handling of the Coronavirus pandemic due to the influence of the Catholic Church, whereas the UK handled the Coronavirus poorly due to Boris Johnson’s failed policies.
Spain 100% botched the COVID response, but out of all the causes for it, the Catholic Church is not one of them. The Church probably has 0 influence whatsoever in the current government. Even if Spain was to have a conservative led government the Church's influence would still be extremely limited (the Rajoy cabinet was certainly not religiously influenced outside a failed attempt at banning abortion)
Same thing applies in Italy and Portugal.
If you want to seek blame on something, you can look maybe at societal structure, or the governments not reacting fast or comprehensively enough or stuff like that; but not at the Catholic Church.