Teniente was born in San Antonio, Texas, where she grew up on the city's South Side until moving to California at age 8. She worked as a grocery store bagger for her first job.[1] For her secondary education, she moved to Alaska, where she would live for 25 years,[1] first attending the University of Alaska Fairbanks, where she received a Bachelor of Arts in management from in 1989.[2] In 1991, she began working various administrative roles for the University of Alaska Anchorage, earning a master's degree in business administration in 1998 and holding a position as its vice chancellor of administrative services until moving back to California in 2004. There, Teniente began working in 2004 as vice president for administration and chief financial officer for California State University, Fresno (Fresno State), as well as chairing "the Fresno State Association, the President’s Commission on Human Relations and Equity, and the CSU Risk Management Authority."[2] In 2013, she received a Doctor of Education degree in Educational Leadership from Fresno State.[2]
In 2014, the board of regents of the Texas A&M University System hired Teniente-Matson as the president of the San Antonio campus,[2] which was the first college campus to open in the historically underserved area.[1] She succeeded Maria Hernandez Ferrier, who oversaw the university's founding years, accreditation, and partnership with the local Toyota plant.[4][5] Teniente-Matson's initial goals included similar campus research partnerships in locally-relevant areas such as water conservation or cybersecurity.[5] By 2016, Teniente-Matson had overseen the university's transformation from a satellite campus to a four-year college with its first entering freshman class, as well as the university's designation as a Hispanic-serving institution.[3]
Teniente-Matson supported adding bike paths, trains, and entertainment facilities near the campus, on land owned by Verano Land Group with future development going through community meetings as of 2019.[6] Additional goals included a student union with a student financial literacy center,[7] as well as more dorms and intercollegiate athletics.[8] On the subject of establishing a university under a tightening state budget, she stated, "what makes us unique is looking very closely at the students that we serve [...] what’s unique about our own geography, and what’s unique about our students, and then how we can build on that," as well as emphasizing the responsibility of university presidents to advocate for the university in the legislature and to keep the university's community informed.[1]
On November 16, 2022, it was announced that Teniente-Matson would be departing TAMU-San Antonio to become the new president of San José State University. Teniente-Matson assumed the university presidency on January 16, 2023.[10]