SnowFire got it.
1. My master! He betrayed me! - Teefa is Ariel's apprentice; Ariel and Teefa are betrayed by their master Galneon.
2. I have nothing in common with that big-chested bimbo. - Teefa's name is the same as Tifa Lockheart, but they have just about nothing in common (backstabbing royal sorceress vs. devoted rebel martial artist).
3. Were my betrayals in the cards? - A reference to Teefa betraying the hero Rooks and being betrayed, and the card-based nature of the game.
4. That bartending bimbo even stole my name! - A more obvious reference to Tifa Lockheart.
That was harder than I thought - I knew the game was obscure, but there's a stat topic, so I thought more people had played it.