See what an unsatisfying bumper-sticker treatment that was? Among the different roles assigned to men and women in the Bible, men are assigned the role of leadership. This is not a signal of male superiority or of the greater importance of men.
It is simply God's design and assignment of equally valuable roles among spiritually equal beings. Briefly, biblical support for this position is found, among other passages, in the creation order in Genesis 2, in 1 Corinthians 11: 7-9, and Ephesians 5.
All singles who profess Christ and aspire to marriage — even as a possibility — have this responsibility (even outside this area of life, we should all be trying to grow in Christ). If you're already sure of that basic answer, are you a growing and mature Christian?
Are you generally humble and teachable, and do you respect authority?
It may mean that you explain to him that before you are willing to go out with him, he needs to meet person or couple X and discuss it with them or with the two of you.
Ultimately, this means learning to trust God's goodness and sovereignty.
Clearly, this is not the popular secular view of the "liberated" woman's role.
Hollywood's perfect woman runs with the boys, knows what she wants and is aggressive en route to getting it — especially romantically. "What if I'm really interested in a man and he just isn't getting it and I need to move him along? When men drop the ball on leadership (as we often do), it presents a temptation for the woman involved to pick up the reins and lead for him. Picking up the reins sets a terrible pattern that only confuses the roles in the relationship and encourages both of you to take the role of the other to the detriment of the relationship and ultimately the marriage. If it doesn't work out with a particular guy because he didn't step up, the Lord will cause something else to work out.
Hilariously, Hollywood even writes these characters into period pieces, as if the normal woman at all levels of society in the 18th and 19th centuries was a post-feminist, post-sexual-revolution, "there-ain't-no-difference-between-me-and-you" libertine. Needless to say, that is not the biblical picture of the responder. Does this mean that a woman should never ask a man out on a first date? Does this mean that a woman shouldn't give the guy the assurance he needs by "leaking" news of her interest to him by way of his friends? He knows what is best for each of us, and all of us must learn to trust Him — especially about things that are really important to us.