As you know water and electronics and electricity are not a good mix.
The water causes corrosion and provides circuit paths for the electricity which were not in the phone's operating design and could damage the components.
First do not turn on your phone and then you need to with the phone turned off, remove the battery as soon as possible from the phone to minimize further damage.''
Then you need to dis-assemble the rest of the phone and clean all the affected parts using Isopropyl Alcohol 90%+ (available from most pharmacies) to remove all traces of corrosion and water. Do not use "rubbing alcohol" as in some cases this is <70% IPA, can contain scents and is not as effective. If you do check the label to verify the amount
Here is a link that describes the process.
Electronics Water Damage
As always with electronics, especially surface mounted PCBs be gentle when handling and especially when brushing away the corrosion. You do not want to remove any components from the board.
Hopefully after you have done all this the phone might possibly work correctly again.
Here is a link to the ifixit Amazon Fire Phone Teardown guide which may be of some help.
If this process seems too daunting, take your phone to a reputable, professional phone repair service, experienced in water damage repair and ask for a quote for a repair.
If you decide to do this, do it sooner than later.