To solve this question, the user needs to understand the meaning of the phrasal verb "put someone up". "Put someone up" means to provide someone with a place to stay for a short period of time.
Now, let's go through each option and explain why it is right or wrong:
A. "In" is incorrect because the correct preposition to use with "put someone up" is "up", not "in".
B. "Down" is incorrect because the correct preposition to use with "put someone up" is "up", not "down".
C. "Away" is incorrect because the correct preposition to use with "put someone up" is "up", not "away".
D. "Up" is the correct answer because "put me up" means to provide someone with a place to stay for a short period of time.
Therefore, the answer is: D. up.