But when she uses a program whose the source code can be examined by a worldwide community of programmers, her chances are greatly improved that if the code plays any dirty tricks someone will already have discovered the offending code, they will have screamed bloody murder, and the offending code will already have been removed. Even if she's unfortunate enough to have encountered the malicious code before it's been discovered, she can be confident that when it is discovered: 1) it will quickly be fixed, and 2) since it's in Microsoft's and Apple's interests to disparage F/OSS software, it will be prominently reported on the 11:00 news.
I'm certainly not claiming that there's any absolute guarantee that any software is safe. If you really want to be paranoid, read Ken Thompson's "Reflections on Trusting Trust" at http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.167....
But I am claiming that her chances of being harmed by having her data misused are far, far greater when she uses software that can only be examined by a very few programmers inside an organization that has a vested interest in hiding the misuse. She's much safer when she uses software that can be examined by a worldwide community of programmers whose vested interest is in achieving status within the programmer community by producing code they can be proud of.