Audio files looks impressive, 600 Mb for a CD.
To play it takes an hour.
600 Mb per hour is not a demanding task for a computer or a network.
Red book audio is playing 16-bit PCM audio at 44.1 kHz.
This is 705600 bit/s or 0.67 Mbit/s.
We have stereo so 1.34 Mbit/s.
A Wi-Fi network (802.11 G) has a gross throughput of 53 Mbit/s (network speed is expressed in bits per second, not bytes).
If we assume an overhead of 2, playing Redbook audio still fits in.
Even hires audio e.g. 24/192 kHz requiring 8.8 Mbit/s, fits in.
If reception is poor or you neighbors are using the same channels, you might run into troubles (dropouts).
Wi-Fi channels and their overlap, 1,6,11 is the non-overlapping combination
In these cases a CAT5e cable is the answer.
Wired requires less overhead and is faster (100/1000 Mbit/s).
You don't share it with your neighbors either.
If it is not feasible to run a wire, a home plug (Ethernet over the power lines) is an option.
Upgrading to 802.11 N might help too as it has a bigger bandwidth.