Premier inn old Trafford to Manchester airport [closed]

Assuming you're asking for directions, here's the map for the TFGM Tram system: https://tfgm.com/public-transport/tram/network-map

If you have the time and want to only tram it, you'll want to take the tram from Old Trafford to Trafford Bar (Frequency every 12 minutes, journey time 2 mins) where you can then pick up the Manchester Airport line (Frequency every 12 minutes, journey time 42 minutes from Trafford Bar).

This is going to make it a rough 1 hour journey and the earliest you can get from Old Trafford to Trafford bar is on the 06:04 from Altrincham - I'd expect it'll reach Old Trafford by 06:25. I wouldn't see you making Manchester Airport before 07:30 at the earliest if you do this.

Shown here though: https://tfgm.com/public-transport/tram/stops/trafford-bar-tram/tram-times/manchester-airport-tram#tram-times-panel you can get a Trafford Bar to Manchester Airport tram every 12 minutes from 03:12 and you can walk to Trafford Bar Tram Stop from Old Trafford Tram Stop in approx 12 minutes.

Depending on when you want to check-in then (and working backwards from that point), Pick your suitable check-in time, budget an hour into getting the Tram from Trafford Bar to Manchester Airport, and another 15-20 mins walk from the Travellodge to Trafford Bar (and maybe a little extra tolerance for the unexpected). That will give you your set off time.