DS211: Here is an article on how to plant ideas in peoples heads: http://www.lifehacker.co.in/life/How-to-Plant-Ideas-in-Someones-Mind/articleshow/24838813.cms
I have not tried the ideas myself, but it seems like interesting advice:
Getting someone to want to do something can be tough if you know they're not going to want to do it, so you need to make them believe it was their idea. This is a common instruction, especially for salespeople, but it's much easier said than done. You have to look at planting ideas in the same way you'd look at solving a mystery. Slowly but surely you offer the target a series of clues until the obvious conclusion is the one you want. The key is to be patient, because if you rush through your "clues" it will be obvious. If you take it slow, the idea will form naturally in their mind all by itself.
Let's say you're trying to get your friend to eat healthier food. This is a good aim, but you've got a tough enemy: they're addicted to the Colonel and need a bucket of fried chicken at least once a day. Out of concern you tell them to eat healthier. They either think that's a good idea and then never do anything or just tell you to stop nagging them. For them to realize what they're doing to their body, they need to have an epiphany and you can make that happen by talking around the issue.
To do this you need to be very clever and very subtle, otherwise it will be obvious. You can't just say "oh, I read today that fried chicken is killing 10 million children in Arkansas every year" because that's a load of crap and comes with an incredibly obvious motivation for saying it. If chicken is the target, you need to make chicken seem really unappealing. Next time you sneeze, make a joke about coming down with the avian flu. When you're ordering at a restaurant together, verbally convey your decision to order something other than chicken because you just learned how most chicken is processed by restaurants. When you've done enough of these things-and, again, with enough space between them so that it doesn't seem like odd behavior-you can start being a little more aggressive and stop going with your friend to get fried chicken. You can also take proactive steps to improve your own health and tell your friend 1) what you're doing, and 2) how well it's working for you. After a few weeks, if your friend hasn't decided to reconsider his or her position on frequent fried chicken, you can casually mention it and they should be much more open to having a real discussion.
This approach could be taken where you begin to watch programs about other religions (like mormons and amish) and make comments like they should just google their religion, that you wonder why they never thought about studying their religion more when the bible tell us to examine what we believe and so on.
General good advice is (as ABibleStudent) said to make long pauses when you wait for her to answer. People hate silence and will try to fill it. Just make it seem like you are thinking about it as well. In a similar fashion, talk very slowly. Take time for yourself to think during your conversation and formulate what you say as your own speculation and open questions rather than direct statement.
Ideally you should end the conversation before she reach for a conversation stopper, never try to continue if you feel she is resisting your line of thought and want you to stop (this can be very, very hard to do). Also be aware you might feel you are making very good progress one day, and the next she is backsliding and dont want to talk at all -- just leave the subject and wait.