If she's an unprogrammed Quaker she might think that people are more open to different religious/spiritual stuff than they are. Most unprogrammed (or "liberal") Quakers don't identify as Christians (although some do), although most will find inspiration/enlightenment from Christian texts and ideas. Sort of like Unitarians in a way. Like quieter Unitarians. As I said, she might just be applying that sort of openness to everyone.
If she's a conservative Quaker (they usually hold more traditional services with a preacher, but some do do unprogrammed meetings), she might be trying to convert you. Still, they tend to be a bit more open than other Christians, so it might just be her wanting to offer comfort, a chance at growth, etc.
Either way, you shouldn't feel bad about getting rid of it.