“她独立地”可以翻译为“She independently” 或者 “She acted/lived independently” (根据具体语境选择后一种更完整的表达形式可能更合适,若仅强调状态用前一种)。
“She independently” 可用于句中作状语,例如:She independently completed the project.(她独立地完成了这个项目。 )
“She acted independently” 强调行为方式是独立进行的; “She lived independently” 表示生活状态是独立的,例如:She has been living independently since she turned 18.(她18岁起就开始独立生活了。 )