Emily:

I promise, the cleats won't pull out of your shoes. It really works!
Read the Q&A (below) from the Speedplay website that addresses this issue. (Easier than looking for the instructions that came with the pedals!)
Carol

Q:My new Zero cleat springs are stiff and entering the pedals is difficult for me. What should I do?

A:As with all clipless pedal systems, there is a learning curve to mastering optimal entry technique. Lubricate the cleat springs with a dry-type(PTFE)lubricant such as Super-Lube Dry Film, RD-50, DuPont Performance Dry, Liquid Wrench Dry Lube, Pro Gold or Finish Line, which will facilitate entry. Be sure to step downward, keeping the ball of your foot flat and parallel to the spindle.

Adding a slight twist while pushing downward also aids with entry. Be sure that the 4 x 11mm outer cleat fastening screws have not been over-tightened. Tighten cleat fastening screws until resistance is felt and then tighten no more than ¼ turn. (Maximum fastening torque = 20 inch pounds) Over- tightening prevents the springs from operating properly and can affect engagement.