Williams took her fight down Broad Street on Tuesday, joining a group of nearly 40 chanting outside City Hall.
Williams, who is also the chairwoman of the School Advisory Council at Daroff Elementary in West Philadelphia, said no one from the district had contacted her.
"Don't deflect from the real issue," she said. "My activism has nothing to do with [my injury]. . . . If they want to make me an issue, that's sad."
A district official with knowledge of the probe said officials plan to pull video that shows Williams at the rally inside district headquarters. Information will be turned over to the company that manages the district's workers' compensation claims.
Williams served as an officer at Daroff before going on disability Jan. 14, after a reported assault by a student.
A district spokeswoman said she wouldn't comment on personnel matters.
"I want to be in school," Williams said. "I give this school district 100, 200, 300 percent. They can come on with it. The doctor said I can't work the same way until my shoulder heals."
She said the real issue is that a disproportionate number of students in the city aren't proficient in reading and math.
"They don't live in my neighborhood," she said of district officials and politicians. "They don't see the kids walking down the street high. These kids are suffering."
Williams said she supports Ackerman's efforts to help parents and students who struggle. She listed several of Ackerman's initiatives, including Parent University and Promise Academies, which give more resources to struggling schools.