Look for
$.flexslider.defaults =
and/or slider.vars.initDelay value.
Set the values (or leave the defaults and set your own values) to ones that will trigger your animation in shorter term.
Alternatively (in case I misunderstood your problem) - load delay can be caused by slow loading of scripts and / or images that are too big for the container (that is, if you have 5000px x 3000px image of 10MB and you're showing it in a panel 400 x 300, you're wasting bandwidth and slow down the system without reason).
I hope this helps. Good luck.