Consider the following premises. If William were a writer, then it is cold. William is a writer or Susan is not an astronaut. If it is cold, then Susan is an astronaut. Can we infer the following from them? If Susan were an astronaut, then William is a writer.
 From the fact that if William were a writer, then it is cold, and that if it is cold, then Susan is an astronaut we can infer that if William were a writer, then Susan is an astronaut. Finally, from the fact that William is a writer or Susan is not an astronaut we can infer that if Susan were an astronaut, then William is a writer. Therefore, the answer is yes.