Okay............................so.......Rylee Belle has diarrhea.

She has NEVER had it before. I recently changed her food from TOTW to NOW grain free for small breeds. Does is usually take a few days for a stomach upset to occur from a change in diet? I also just recently starting adding a little bit of Wellness (canned) also grain free. She is acting completely fine and drinking plenty of water. Even still wants to eat (I'm taking her food away for the day) so I am boiling up chicken to give her tonight. My question is.......should I give her brown or white rice? She hasn't had any more diarrhea since first thing this morning (a very little bit) but was up several times during the night with it. Am I handling this correctly?