My code now looks like the following. It is a bit awkward to test. Please let me know if there are problems with it. I'll be back monday morning GMT.

sub Prioritise_requests {

  my ($input_directory) = @_;

  my $input_directory_lowest = $input_directory."1";
  my $input_directory_highest = $input_directory."2";


  readdir (LOWEST, "<$input_directory_lowest") or die "Error opening d
+irectory: $!";
  readdir (HIGHEST, "<$input_directory_highest") or die "Error opening
+ directory: $!";

  my @lowest_priority = <LOWEST>;

  my $request_of_interest = 'none';


  foreach (@lowest_priority){    # foreach low priority request

    my @highest_priority = <HIGHEST>; # fill high_priority array

    if (@highest_priority) {  #  If there are elements in the array 
      #Do nothing
    }
    else {
      $request_of_interest = $_;
    }


    if (@highest_priority) {
      foreach (@highest_priority){   # foreach high priority request
    $request_of_interest = $_;
    return  $request_of_interest;
      }
    }
    return  $request_of_interest;
  }
}
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