On her Instagram story, Teddi, who is married to businessman Edwin Arroyave, shared a video of her newborn as the Temptations classic "My Girl" played in the background. Her husband confirmed that Teddi was a "champ" in the delivery room, and that mom and baby are both "healthy and good."
Teddi also posted a sweet photo that showed her posing with her husband at the hospital as she held her baby girl. The mom of three still has her hospital bracelets on -- and an IV in her arm -- in the family photo.
In the caption attached to the pic, Teddi wrote that she and her husband are "absolutely in love" with their newborn. While the Bravo star had previously shared a list of potential names for her daughter -- Presley, Shay, Selena, and Dove were the frontrunners -- the couple has not yet announced the baby's name.
In comments attached to Teddi's Instagram post, several Bravo stars reacted to the birth of baby Arroyave.
"I can't wait to meet her!" wrote fellow RHOBH star Kyle Richards.
"Congratulations, she can marry my grandson," added show newcomer Garcelle Beauvais.
In addition, Teddi and Edwin's close friends, Vanderpump Rules stars Stassi Schroeder and Beau Clark, posted congratulatory messages.
"Yes!! You guys!!!! Congratulations!!!!" Stassi wrote.
"Congrats you gorgeous family," chimed in fellow Vanderpump Rules veteran Kristen Doute.Teddi and her husband have two other children together -- Slate, 7, and Cruz, 5. Arroyave also has an 11-year-old daughter, Isabella.
"Slate is really excited," Mellencamp told Page Six last fall. "Cruz is still a little bit pissed that he's having a sister, but we're working on it. He's like, 'Mom. Why? There are so many girls already!' And I'm like, 'Sorry, bud.' But, he'll figure it out!"
Teddi shared her entire pregnancy journey with her fans on social media, but it is unclear how much of it will be shown on the upcoming season of The Real Housewives of Beverly Hills. Teddi's pregnancy is a first for a star of the Bravo reality show, which -- in addition to Kyle Richards and Beauvais -- also stars Lisa Rinna, Erika Girardi, Dorit Kemsley, Denise Richards, and Sutton Stracke.