Fix a streaming app that won’t rotate on iPad
Check Rotation Lock in Control Center and use an app that supports both orientations to tell an app layout choice from a device issue.

Test a second app
Swipe down from the top-right to open Control Center and check whether Rotation Lock is active. Turn it off if you want the display to rotate. Return to a normal full-screen app known to use both portrait and landscape and rotate the device once. If that app moves but the streaming app stays fixed, its current screen or player may only support one orientation.
Check full screen and reconnect accessories
Exit any split view or external display arrangement and test the affected app in full screen. Some apps use different layouts for their catalogue and their video player, so try the programme guide as well as one video. If no apps rotate, restart the iPad and repeat the system check. Record the iPadOS and app versions if only the streaming app remains fixed.