I also use a dual core ATOM, with 4GB, and J. River MC15.
It's not so much power, but drivers you have to watch out for. Wireless cards can affect performance of a system even if you are using the wired NIC to stream in audio. Even then, I discovered that ASIO (Lynx) resulted in excessive system latency, whereas WASAPI did not. Probably board and device driver specific, but these latency problems can still creep into today's gear. You should be fine with that system; re-reading it seems you won't be streaming from another PC/server (J. River Library Server) to that laptop, correct?