If the liquid dish soap was dishwasher detergent, then you may not encounter a serious sudsing problem at the end of the dishwasher cycle. If you put regular dish soap in the dispenser, then you could encounter oversudsing and leaking through the door. Here are some tips for minimizing and maybe even eliminating the sudsing problem:
If you have a turkey flavor injector, you may be able to use this item to suck the detergent out of the rinse aid dispenser. Open the dishwasher door and fill the dispenser with water and then suck the liquid out with the injector. You may also be able to use a syringe without a needle that is used to dispense liquid medicine for a child or baby. If you alternate filling the dispenser with water and then removing the liquid, you will eventually dilute or eliminate the detergent that was in the rinse aid dispenser.
Once you dilute or eliminate the detergent, fill the dispenser with water.
Set the dispenser on the highest setting and run a cycle to see if you see excessive suds during the final rinse cycle.
If you don't see a suds problem at the end of the washer cycle, then I recommend taking as much of the water out of the rinse aid dispenser as possible and filling it up with rinse aid and then returning the dispenser to the normal setting that is appropriate for your water hardness.
If you are seeing excessive sudsing, then you may need to try to flush the dispenser with the fill and drain routine again. You may need to change the setting to the minimum and see if you detect a suds problem. If not, then allow the dispenser to empty at the minimum setting and then fill it with rinse aid after it is empty.
I don't recommend using the heated dry until this problem is completely resolved. This could cause residue to dry on the dishes. If you detect residue on the dishes after the cycle is finished, you may need to wipe the dishes off as you remove them.
Excessive suds and possibly residue on dishes would be the only consequence of this mistake. The excessive suds could cause leaking out of the front of the dishwasher door if it is severe enough. The dishwasher may not drain properly if excessive suds are present. The above tips should help you minimize or eliminate these consequences.
If you need more help with this problem, resubmit your question with additional details.