Is there a way to order the rows of a data frame droping in the same function the rownames?

Question

When I order a data frame by the values of a column using the function "order", I get the rows reordered but they preserve rownames, which they are numbers if I am not using rownames in my data frame.

Example:

mydf <- data.frame(first_name=c("Arya", "Cersei", "Daeneris"), age= c(11, 32, 19))
mydf

mydf <- mydf[order(mydf$age, decreasing=T),]
mydf

Edit: This produces a data frame with the row names preserving the previous row order:

  first_name age
2     Cersei  32
3   Daeneris  19
1       Arya  11

I have looked into "order" help, but I don't find any argument to drop the row names. Is there any way to do that even using a different function to reorder rows?

I know I can use rownames(mydf)=NULL but I would like to do it in the order function if possible.

Edit: desired output would be:

  first_name age
1     Cersei  32
2   Daeneris  19
3       Arya  11