How can I separate a school speaking assessment from permission to put my child's video on a public website?

The teacher's message says the class will record their poems, and selected videos will go on the school's public website. My daughter is happy to perform for her class. She doesn't want a video of herself online.

We're in England. She's twelve and has practised the poem for a speaking assessment. I asked whether she could be assessed without publication. The reply said it would be a shame to hide good work and offered to use only her first name.

I appreciate the teacher wanting to celebrate the class. A first name doesn't settle my daughter's concern about her face and voice being available publicly. I don't yet know whether the recording is required for marking or whether that is separate from the website plan.

What should I ask next so we can resolve the assessment and publication as two decisions? I want her to complete the learning task, and I want her concern heard before the camera is set up.