Importing images to InDesign changes the colour of my text

The green is not printable. Set your Transparency Blend Space to RGB.

It's due to your image having transparency, and the transparency then has to be parsed through a transparency colour space. 

https://www.printingforless.com/Choosing-a-Transparency-Blend-Space.html

It's likely that your transparency blend space is CMYK - and your image is now forcing the spread into this view. 

The Neon Green probably is out of gamut for print - so the adjustment in the colour of the text shows a more realistic view of the CMYK. 

You should really check with your print provider if that Green can be reproduced in print using CMYK - if not you'll probably want to consider a different colour - or failing that you'll need to use the 5th colour and have a spot colour -but that's more expensive.

Either way - I'd be concerned over the colour of the neon-green text anyway - it probably can't be reproduced in print.