What you were doing when the issue happened
add one song to iTunes library -> close iTunes -> try to play song using iTunes mini player feature -> song not listed.
Whether you were able to replicate it a second time by performing the same action
yes.
Include any screenshots that might help us
Let me know if you need screenshots, I don't think screenshots are going to help.
Include the Alfred version & build number you are using
v 2.2.1 (227)
Include your OS X version
10.9.2 (itunes 11.1.5)