The recording consists of a succession of single notes. There's nothing super-obviously hidden in them or in the relationship between the stereo channels, but I haven't looked hard. The notes are all of (approximately or exactly? I haven't checked) the same duration and appear to be played on the same (presumably synthetic) instrument. They are apparently not all equally loud, which may or may not be significant. (The particular measure of loudness I'm using right now is evidently sensitive to pitch, which makes it kinda unhelpful.)
The notes mostly come in repeating groups. They are all taken from the scale of C major or A minor, within one octave from A (low) to G (high). The notes and repeat counts are as follows: E3 G3 B1 F2 A1 D3 B2 G2 E1 A1 E3 C4 F3 G3 D3 G2 E1 D3 B2 G2 F3 D3 A3. There are 12 unique combinations here out of 23 (note,count) pairs.
This suggests a substitution cipher with each (note,count) indicating a particular letter of the alphabet, perhaps in some nice systematic manner where e.g. C1..B1 are A..G, C2..B2 are H..N, etc. That turns out not to work, but if we take A1..G1 to be A..G etc., then we get: SUBMARINEASXTURNERINTRO.
this doesn't quite make sense but there appears to be something called Submarine by Alex Turner, which would mean having E2 E1 where I had E3. Fair enough; that's just an ambiguity.
So I think Alice's favourite song is
the intro to Submarine by Alex Turner
which turns out (thanks to Mike Ball in comments) to be
a song called "Stuck on the Puzzle".