Do your research first before you do a tranny flush if you haven't been doing them regularly throughout the life of the tranny. Read up first and check with a few of the senior guys on here. Sometimes it's better left alone. Just drain your 2 and 1/2 qts and replace every so many miles. Search the threads first and formulate your decision.
I have and in every case I hear of a trany taking a dump immediately after flushing, its because of a commercial high power flush, not an old school slow (and messy) flush using the trany to do the flush itself.
The tranny flushes itself every time you drive it, as the fluid runs through the system to the cooler. Flushing it at the speed that it flushes itself and replacing the dirty fluid with clean, will do no harm, and if it did, or does, it is likely that very soon, on a trip to the convenience store for beer, it would have done itself in, as a rebellion due to the neglect it received.
If you read the FSM, and you look at the inside of one these babies, you scratch your head and wonder how could changing out the fluid and replacing it with clean fluid cause it to screw the pooch. It might, and I say might, as in slim chance screw up a sensor, but allowing it to self flush out the old and take in the new, will not cause damage and saying will is like saying a fleet enema and drinking clean water will kill you when your impacted and full of fecal matter that needs cleaned out...that dog just hunt.
Force flushing never, but flushing in clean fluid at the pressure, or close to the pressure that fluid is pumped to the cooler will never hurt it and any hurt supposed, is more likely than not, a fallacy of correlation.