@bcowin looks like you could use one of these:
A right angle endpoint replacement here (link), 6ft is way more than you need, but it’s cheaper than the rest. You would need to cut & replace the end of the supply cable. Since this is an AC power supply, wire polarity does not matter, just strip about 1 / 2 of an inch off of the old cable (to expose the conductive core) and twist the ends to connect with the new cable. Make sure to get some electrical tape to safely isolate the resulting splice and safeguard against shorts.
Or (it the existing endpoint is working when the wire is straight), you could use this 90 degree adapter (link). In which case you would simply plug the old plug into the female end of the adapter and the Rachio to male end.