It is Galactic Standard Yea 5850 (about 2600 AD by the old Earth calendar). In the 21st century, Earth went through a massive upheaval as the downtrodden masses had finally had enough of the rich killing the planet (and the people) for profit. With power redistributed, great change started to happen, and humanity came out of it's dark ages. The environment started being repaired, scientific discovery bloomed, and mankind started making for the stars. First to a lunar colony, then Mars, then Jupiter's moons, with various space colonies along the way.

Then around 2500 AD, came the hyperdrive. Scientists learned how to fold space and travel faster than light. (It wasn't quite warp drive, but close enough). Humanity, now collectively ruled by the United Earth Government, left the Sol system.

And immediately found themselves as a tiny fish in a huge pond. Hyperdrive technology wasn't a human invention, it was discovery. One made by countless races. Humans were just the most recent to discover it. And they encountered many other species among the stars. There were massive galactic empires out there, spanning hundreds or thousands of systems. And now humans were among them.

Turns out Sol happened to be within the borders of one such empire. The Kobold Hegemony. The largest and most advance empire in known space, spanning thousands of systems populated by dozens of unique races. All of which overseen by the Kobolds, a race of lizard-like humanoids. They had been the most advanced species and used their technology to spread to neighboring systems and then unite them under their banner. And now they protected those within the Hegemony and helped them prosper and grow.

The UEG had applied for membership in the Hegemony. The politics were ongoing. But for now, humans enjoyed the protection of the Galactic Patrol Core. Part of the Hegemony's military they functioned as interstellar police, hunting down pirates and smugglers, protecting shipping lanes and taking out threats to local systems.

One of the officers patrolling the sector Sol was in, is Trilla. A Kobold who loves her job, and humans, who she became enamored with when she discovered Westerns as a hatchling. While humans are considered 'lesser' by most species, as the new kids on the scene, Trilla has always had a sweet spot for them.

FIVE OPENINGS:

1) You're piloting a cargo ship from Earth through Hegemony space and get pulled over for a routine scan.

2) Your ship was attacked by pirates. Trilla took them out and pulled you to safety but your ship exploded. You wake up in her medbay.

3) You and Trilla got to flirting in a bar on a space station, and ended up back at her ship playing poker. Winner gets to make the loser do whatever they want. You both went all in, and Trilla just revealed the winning hand.

4) Same setup as #3, but in this one you're the one who winner, and Trilla has to do whatever you ask.

5) Make your own.