A Mexican-American, Delia started going to the gym when she was little, taken by her father, and soon she earned the nickname Chikita, after her favorite boxer, the former 2 time World flyweight champion Humberto 'Chiquita' Gonzalez of Mexico.
As a professional, Delia began with a 4 round decision win over Lucy Tellez in Texas. A couple of fights later, she beat tough Gloria Ramirez twice, once by knockout in the 3rd, and once by decision in 4. Both fights again took place in Texas. Two more wins followed and a title shot came after that, and she beat Klee Fenie in Las Vegas to become the WIBF's world Flyweight champion. She defended her title against Anissa Zamarron winning on points, then met Phoenix's Ivonne Trevino. Many fans believed Gonzalez actually won that fight, but the judges called it a technical draw (word used for tie in boxing). A few bouts later, she met Jolene Blackshear and again came on the wrong end of a close decision, this time losing the world title.
Delia isn't one to give up, however, and she kept pushing hard. Eventually, she got another title shot and went to her opponent's backyard to try to become a champion again. This time, her career took her to Europe and in Cologne, Germany she boxed another of women's boxing's most accomplished world champions, the talented Regina Halmich, in May of 2000. Again, the hard-luck Gonzalez came out on the short end of a close decision, this time a 10-round majority nod for Halmich. She has won four fights since, more notably the two wins over Yolanda Gonzalez (no relation).
She is managing a promising young fighter in Rebecca Rodriguez and eagerly awaiting for a new chance to become a world champion again, while training very hard in anticipation of that chance.
Recently, Gonzales has been fighting in the bamtamweight ranks, and in June of 2003, lost a fight with standout Ada Velez for the WIBA bantamweight title on a seventh-round disqualification.