You are confusing your R version with your RStudio version. RStudio is an IDE (Integrated Development Environment) for the R programming language, but they can have independent versions.
eemeans requires R >= 3.5.0 so you have to update R first, the latest stable version is 4.0.2 and you can download it from here https://cran.r-project.org/bin/macosx/
I agree with what's been said about updating R, but in addition it looks like maybe you meant to load emmeans, not eemeans? Apologies if there's also an eemeans package I don't know about.