Edit: perhaps not
> It is estimated that livestock alone uses 50-80% of the total antibiotics produced in most of the developed countries. China, Brazil, and the United States are the largest consumers of antimicrobials in livestock production.
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7896880/ (Antimicrobial uses for livestock production in developing countries)
https://oec.world/en/profile/international_organization/euro...
However, even if there is an association, and it is "causal", given this is not an experimental study, the relationship could well indicate a reverse causal link.
E.g., patients with a higher likelihood of developing colorectal carcinoma may be predisposed to increasing their beef / milk consumption, which then shows in non-tumour tissues. In this light, the association might even demonstrate a protective effect against cancer (or at least its early symptoms).
One can easily find a biologically plausible explanation for this too. One of the early signs of cancer is loss of weight / appetite. It would make sense that people might instinctively turn to more 'umami/flavourful', low-carb/protein-high diets, to stimulate their appetite and combat the weight loss; particularly in terms of muscle mass.
This kind of explanation might also align with your observation on cancer rates in Europe vs South America. (assuming detection rates are similar in the first place).
It doesn't follow from a correlation that beef is by itself causative; it can be, for instance, beef plus some other X-factor. Somebody is going to point out that South American cattle are grass fed, but European cattle are also more grass fed than American cattle, and yet they still top the leaderboard.