What you may not know is that she can get you to Odessan for free, even if you don't have your personal starship through the class storyline, or if you haven't started the Eternal Throne storylines.
You will not be able to enter story-related areas on Odessan, but you can still access the common areas, including mission terminals all in one handy place and a more straightforward route to them than Fleet.
- Recruit Shae Vizla with your token.
- Open the Companions roster and click on her.
- Notice the option to "Travel to Contact". Click that.