a simple rinse/strain would not be long enough. 10-15 seconds is the sweet spot. the ISO will come out nearly clear, and your first run isn't usually that great, but the 2nd will be heavy and then you can still do your soak with the leftovers after doing a proper 1st/2nd wash.
Don't feel like you messed up in any way... you are gaining experience! Believe me, I think we've all done the same things at some point. Just gotta keep trying to make it better and keep working on your tek.
As an example, here's a pic of some first run oil I made just last week (10 sec wash time):