Final answer:
One problem Mexico, including Texas, faced after gaining independence was tension between the Mexican government and Anglo-American settlers, which led to conflicts and eventual annexation by the United States.
Step-by-step explanation:
After gaining independence from New Spain, one problem Mexico, including Texas, faced was the tension between the Mexican government and the Anglo-American settlers. The settlers, known as Texans, had different cultural, political, and economic interests than the Mexican government and the Mexican residents, known as Tejanos. These differences led to conflicts, including the rebellion in Texas in 1836 and the eventual annexation of Texas by the United States.