Now I don't know your friend, and I don't claim to, but are you sure she even speaks Romanian at a native level herself? Because, frankly, I've seen (and sometimes used) Google Translate, and no matter how broken it is or how terrible it sounds, it's still perfectly understandable. For a native speaker, if nothing else.
As for whether you should use Bing or Google, aren't all these free translation services pretty much the same? And by "pretty much" I mean identical. I don't think it matters much which one you use. If you want to make yourself understood when you're communcating with her, and she's having all this trouble understanding the machine translation, I suggest you research other translation services that cost a bit of money. Most are cheap and offer decent translations (better than machine translations in any case), and it's certainly a lot better than trying to say something to your friend when half the conversation is "what do you mean?", or maybe it's not.
I'm rambling.