The statement that does not accurately represent a problem Texas faced after gaining its independence from Mexico is:
The United States was taking swift action to annex Texas as a slave territory, threatening Texas independence and values.
While the annexation of Texas was a significant topic and there were concerns regarding slavery, the U.S. did not act swiftly to annex Texas immediately after its independence, and the annexation process took several years to unfold. The other options accurately represent challenges faced by Texas during that time.