Thanks, @margusl, that worked, though I did some adaptations. I used markdownToHTML in stead of pandoc_convert, because that converted bulleted lists and stuff better.

In the end, this is what I used:

fx <- function(x) {str_flatten(markdownToHTML(text=x, fragment.only = TRUE))}

and then:

data <- data %>% mutate(`Description` = map_chr(data$Description, fx))

which worked perfect.

Thanks.