I think a lot will depend on whether you believe the Doctor was in love with Donna or not. If he is, then while it will pain him to let Wilf die, he will have to save Donna. If he's not, and she is just his best friend, he will waiver, but ultimately save Wilf. That way BOTH humans are saved; Donna will just not remember him.
The whole "She can't remember me or she'll burn" however, is one of the most poorly thought out idea in Whodom. What happens when her local bookstore has a big Agatha Christie celebration, and the giant wasp cover is displayed? How about the time Donna goes to the London Zoo and sees the black rhinos?? Or visits Glasgow on her honeymoon and sees the lone Police Box?!?!? There is so much in everyday life that could trigger her.
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The whole "She can't remember me or she'll burn" however, is one of the most poorly thought out idea in Whodom. What happens when her local bookstore has a big Agatha Christie celebration, and the giant wasp cover is displayed? How about the time Donna goes to the London Zoo and sees the black rhinos?? Or visits Glasgow on her honeymoon and sees the lone Police Box?!?!? There is so much in everyday life that could trigger her.
(sorry. Rant over)