Idle is Super high after battery went dead

You could have stressed the timing chain/belt. This would affect the timing and cause the problem.
Here is a link to troubleshoot all high idle issues, as you may have shook something else loose and have a vacuum leak, so you can have all possibilities at hand.
I do believe the stress to the timing belt from bump starting it is the problem as it is hard on the timing belt.

Here is the link;

https://www.2carpros.com/articles/engine-idles-too-high