If you are planning to take a mere acquaintance forward and turn it into a relationship, first and foremost, both of you have to be comfortable with each other. As nature would have it, women tend to find it more difficult to relax in front of a new man. So be manly and work towards making her feel as relaxed as possible when with you. Talk about general topics, share a few chuckles and importantly, try to get to know who she really is. Also, keep away from any related talks. If the conversation does veer toward that, then make sure that it is she who started it.