Dear Miss Snark,
A writing colleague recommended me to his agent. His agent replied to my query that same day, saying she'd be delighted to read my manuscript, as my friend had spoken so highly of my work. I sent it immediately and she acknowledged receipt, saying she was looking forward to reading it. In these circumstances, how long would you expect it to take for me to hear back? Is it true that a "no thanks" in this case would be quick, as some of my friends have opined?
All the usual response times apply.
Your friend got you in. S/he didn't move you to the head of the workload.