Heat oil on medium high heat. Add onion, jalapeno, garlic, oregano, and cumin and cook until onions are translucent, stirring often.
Add tomatoes (and their juice!), lime juice, sugar, and salt and simmer 5 minutes.
Lower heat to a simmer and add rice and chicken broth. Stir and cover. Check often to stir and monitor liquids. If liquids cook out before rice is done, add more as needed.