Hi James,
Since this plugin uses the ‘official’ lottie/bodymovin library untouched everything that works with that, should with WP Bodymovin.
So to debug your issue, check the “Demo – Exports an html for local preview” when creating your animation’s JSON in AE. Then you can test with the exported html file in IE11 to see if it works as it should.
If it is a file you got from lottiefiles.com, then you can check that file directly on IE11 by visiting the lottiefiles.com page in IE11. If it works smoothly there it should also work through WP Bodymovin.