Why is the text showing like this when I export my file from InDesign as a png?

If you must have a png, you should use illustrator so you can create text to outline.

Hi @bschaefer6 ,

please attach a sample document to your reply so we can test the case on our machines.

( Attach the InDesign document with the forum's controls. )

Thanks,
Uwe Laubender
( Adobe Community Expert )

James already asked most of the questions I'd ask. I would add: what was it supposed to be? Can you post a screenshot of correct display of that text? Looks like a font encoding problem, where you had some Korean or maybe Chinese text that lost its double-byte font. However, I've not seen a font drop do that to Korean in more than a decade, so that isn't very likely. 

Is the text garbled if you export to JPEG or PDF?

What is the font name, and source?

PNG is a raster image. Theerefore text is not so crispy as if you would export as PDF.