Error in UseMethod("rename")?

In your code data_sel is just a character vector containing this values ("EE_2", "EE_4", "D1"), you can't apply the rename function over a character vector, I think this is what you actually want to do

library(dplyr)

ommerumfrage_Muenchen_2019_Haushalt <- read_csv("R/Quantitative Datenanalyse_SS2021/Sommerumfrage_Muenchen_2019_Haushalt.csv")

data_sel <- ommerumfrage_Muenchen_2019_Haushalt %>% 
    select(EE_2, EE_4, D1) %>% 
    rename(Nutzungsverständnis = EE_2, Bedienungsverständnis = EE4, Alter = D1)

data_sel

If this doesn't solve your problem, please provide a proper REPRoducible EXample (reprex) illustrating your issue.