Lift heavy, lift often, and lift like a girl.
Yes, girls lift and no, it does not make you bulky. If it did, I'd have my summer 6 pack already, but its getting closer.
Here's what weight training will do.
Adding weights to your routine will build muscle, which burns stubborn fat. Instead of doing steady state cardio for 45 minutes then lifting light weights, switch to a 20 minute HIIT cardio session like sprints followed by heavy lifting.
This allows you to get an intense muscle building workout in a shorter amount of time. Keep your HIIT sessions to 2-3 times a week, but keep lifting 3-6 days a week. When I work abs, I don't start counting until it burns. When I lift, I go to failure. In the end, female training is very similar to male training programs. Muscles don't care which sex you are, they grow from challenge and focused, hard work day in and day out.
So get in, lift like a girl, and get on.