> 1)

You don't need a separate terminal just for that. It's better to automate your window manager to open the terminal. I use this with tmux and i3:

  #!/usr/bin/env bash
  tmux new-window -t 0 -c "$1"
  i3-msg 'workspace 1' # switch to i3 workspace where my terminal is placed

I also use distinct hotkeys to specify which directory to cd to (the script above accepts a directory as argument).