M1 and A57 now open. Meadowhall is closed however. You would be better coming off the motorway at J33, and using the park and ride on the A57, closer to town. Allow a bit of extra time, esp if travelling at rush hour, as traffic is a bit heavier - might be better now M1 is open again though.
Which hospital is it? Tram doesn't go to the hospitals.
More rain is forecast for the weekend, but they don't think it will be as bad as this week was.