Hard Head/Made of Iron: Her response to Alej smacking her in the back of the head with the butt of a rifle so hard the rifle snapped in half? Mild annoyance.
It seems to be a sign of her Narakhan heritage.
Hooker with a Heart of Gold: Back when she was hunting down her Disappeared Dad on her own, she used to "work" (read: as in "working girl", a euphemism for "prostitute") to pay for her living expenses. She's not proud of that part of her past.
Foil: To Mora, arguably. Mora had most, if not all, of the aspects of her good life given to her on a silver platter. Rachael, by contrast, had to work tooth and nail her entire life just to survive, much less live a good life.
Ascended Extra: Her first appearance had her as part of Miles' college backstory. She became impressed and attracted with him for speaking out against a professor, and later slept with him. She's become a far more unique and developed character since.
Sugar and Ice Personality: Defintely not in terms of romantic love, but it's clear she knows how deep the relationships between Nanozells and their owners run. Really, she's perfectly pleasant when she's not around jerks (i.e., Miles, Vixy)
Big Beautiful Woman: She has a bit of a belly but has the largest breasts in the series. Also, most of her appearances, especially in "Breasts Are the Best" feature her wearing little to no clothes.
For Happiness: Tila believes that providing uninhibitied pleasure is the best way to stay in business in an ever-changing world. As such, she strives to make everyone who stays at her inns feel welcome, and there are times where she makes public appearances at her hotels, livening up the place with a showy giveaway of prizes to those who are currently staying there.
Ink-Suit Actor: In-Universe example. Idward used Tila's likeness, with her permission, for one of his table-top RPG's more popular campaigns, to create Tila Sunrise, a guild-mistress who has now become an icon for the game itself. She often appears in campaigns players create as well, due to her popularity. In the game, there is little difference between Tila Wainwright and Tila Sunrise.
Self-Made Woman: Runs an extremely popular chain of hotels called "Sunrise Inns," which consistently reinvests in itself, expanding on the concept of a medieval inn for the modern era. Car rental and parking, restaurants, bars, and of course, beds, her inns have more in common with a casino than a simple overnight stay hotel. She's even allowed Idward to use her likeness for his table-top RPG, with Sunrise Inns getting extra publicity whenever the "Sunrise Guildhall" makes an appearance in a major company-funded campaign. The rights to her image with the game's company are also well-documented.