You already have some good advise here. Since this client has been training with the previous trainer for a while, I’m sure he/she understands that you taking over her training was well thought by your predecessor. This makes it easier for you to establish a good relationship right from the beginning. You can build on the training and routines which the previous trainer had in place and then slowly start incorporating your own methods and style. One thing you could do with this client in order to build an even better and closer relationship is to find a race/event and sign-up for it along with your client. This will give both you and your client a new motivation to move forward and also help you define some new goals for her/him. Once this is over you can evaluate the whole process and then make some new plans/goals. I have approached this tactic with some clients I inherited from other trainers in the past and it created better relationships between me and them. I hope this helps.