Thanks for going into such detail for the specs!
Your CPU looks good. I tend to say the minimum requirement for a low-end stream is about 3ghz total, and that CPU has 2 2.5ghz processors, each of which is hyperthreaded so they're used more efficiently. That's a total of 5ghz so she should be able to do at the very least 360p30fps for the stream, maybe even 540p30fps or 720p30fps at the most.
What I'm more worried about are the OS and the graphics card. Windows 10 still has some compatibility quirks because it's new, and integrated GPUs sometimes don't work too great for OBS. Are you sure the laptop has only the Intel GPU, or does it have a second one?
To make sure the laptop's GPU can even run OBS, I'd suggest downloading and installing it (making sure you run the 64bit version), then doing a test recording of the laptop's display (using the display capture source). If this works, doing the same thing with a capture card should work too.
Also, how good is her internet connection? And tell her to buy a LAN cable and connect the laptop to the internet like that, streaming over wireless is nearly always worse than over a cable.