Because you're sending the message from an iPod, there is no SMS fall back.
Therefore, to receive the message, she needs an internet connection.
That can be WiFi, 3G, GPRS, whatever. If she's not on WiFi, when she receives the message it will use her mobile data allowance but a) messages are tiny in terms of data size and b) most iPhone tariffs include a data allowance.
So, short answer

: it won't cost you anything, it shouldn't cost her anything