Final answer:
Spanish colonization led Native American tribes in Florida to move westward due to forced labor systems like encomienda and from disease outbreaks such as smallpox.
Step-by-step explanation:
One way Spanish colonization affected Native American tribes in Florida was through the displacement and forced migration of these tribes. As the Spanish sought to expand their influence through the establishment of missions and colonial settlements, Native American populations faced the dire consequences of European contact. The advent of the Spanish in Florida introduced systems like the encomienda and later the repartimiento, which required Native American labor for Spanish settlers and led to exploitative conditions. Additionally, Native American tribes suffered from new diseases such as smallpox, brought by the Europeans, which caused catastrophic population losses. This context indicates that, among the provided options, 'Tribes moved westward' is the most accurate, as indigenous populations were often forced to abandon their homelands and seek refuge from Spanish colonial territories, moving towards less occupied regions.