If she is skipping words when she reads, she could be having issues with visual tracking or convergence, which would not be caught in a standard vision screening. You may want to have her evaluated by a developmental optometrist or an OT who specializes in visual issues. Our son had had regular vision screenings as well, and was a voracious reader, but when his regular OT noticed him skipping words when he read aloud and referred him to a visual OT for evaluation, we found serious problems with tracking and convergence, as well as near-total left-sided visual neglect, all of which have since been successfully rehabilitated to near-average levels.

One of the interim strategies that we used with my son was to have him use a plain, opaque place marker (like the back of a bookmark or an unlined index card) that he could slide down the page as he read, keeping it just under the line he was reading, to help him avoid skipping back and forth from line to line while he was reading and to make the page less visually confusing. It might be something to try with your DD.