Free fall is equivalent to being in a region of space without gravity. Let's also assume a vacuum around it such that we can neglect external air pressure etc.

There is one force left, namely cohesion. It will attempt to minimize the droplet surface, morphing the it into a spherical shape. The pressure at the center is given by P= 4 gamma/R with R being the droplet radius. It is tiny for any sizeable droplet. It also gets smaller for larger droplets. until the droplet becomes massive enough to generate its own sizeable gravity.