I know many many wonderful pro-life counselors who use the Bible every chance they get to point out why women should choose life. These counselors also often point out the path to salvation in the same setting. I also know that these dear men and women do this with the best of intentions; however, this does not work well for the women faced with this choice. If they disagree with you based on your Christian faith...if they disagree with you as the messenger, they are going to reject your message.
"All Scripture is inspired by God and profitable for teaching, for reproof, for correction, for training in righteousness; that the man of God may be adequate, equipped for every good work." 2 Timothy 3:16-17
This is the verse that is commonly held up by pro-lifers (and many other groups in other settings) claiming that the Bible is sufficient to make the case to choose life. There is a problem though. Do you notice the phrase "that the man of God...?" This verse clearly states that the Bible is good for teaching, reproof, correction, and training for the believer - for the man of God. So that he (or she) might be equipped for every good work. It does not state that all men will be equipped through biblical teaching. Gregory Koukl from Stand to Reason does a great job of explaining this in further detail, and I encourage you to read it.
If a woman is a Christian, I certainly encourage you to share Scripture with her. If she has faith in God, it's important that she consider and be reminded of what His Word says on the matter. However, when the woman shows no history of faith, a time of crisis is not the time to share God's Word with her. Why? It does not get to the root of the problem as she sees it. If you’re upset about not having enough money and I supply you with a gret cookie recipe, you’re going to wonder, “Is she even listening to me!?”
In no way am I downplaying the importance of the Word of God. I love the Bible and enjoy searching it for answers to life's questions. I am saying that this parallels her thought process. She needs answers - concrete help: money, a friend, a place to live, answers, medical treatment, support to stand up to pressure, etc. She does not want to hear about how much God loves her or her baby, how sinful abortion is, how God won't tempt her beyond what she can take, etc – even though you and I know this to be true. As a matter of fact, this approach is likely to be damaging in 2 ways, (1) it's going to push her away from you, making it difficult for you to reach her with the crucial information and support that she needs to choose life, and (2) it's going to cloud the way God Himself appears in her eyes, making Him seem distant and unaware of what her needs and concerns are.
This time of crisis is not a good time to approach her with God. You might as well serve her filet mignon on a trashcan lid because the presentation is totally wrong in this case. She’s jumping head first into disaster. A pro-woman approach would be to first talk to her about what is going on in her life that would bring her to this. Listen to her concerns. Find answers to her problems. Get the core of the immediate problem out of the way. When you’ve “talked her down” – then you can share your faith with her. Until then, live the Gospel – don’t preach it.