As long as Budgie uses X11 why not just make a custom shortcut in Budgie that executes:
echo "myemailadress.com" | tr -d '\n' | xclip -selection clipboard; sleep 0.3; xdotool key "ctrl+v"
You might need to install xclip and xdotool with sudo eopkg it xclip xdotool
Edit: This works if you put that command in a script and then run the script via shortcut:
script
#!/bin/bash
echo "myemailadress.com" | tr -d '\n' | xclip -selection clipboard; sleep 0.3; xdotool key "ctrl+v"
command for custom shortcut:
bash /path/to/my/script/myscript.sh
scripts needs to be executable
