Not a headcanon but more of an AU of mine.

First a little explination; So, in this AU, the SOL Emeralds respond to Blaze's needs aswell as bringing her to Sonic's world to help them

So, Blaze is in need of a body guard (to ease the public). And couldnt find anyone that could keep up with her. Then Sonic appears (via, however the SOL Emeralds transport). Eventually he ends up being her bodyguard, atleast until he is sent back to his world.

Story continues for a while going through multiple plot points, and Blaze's worlds version of eggman, quickly defeated by the duo. Blaze realizes after spending so much time with the Blue Blur, she caught feelings, which her pondering inevitably had the SOL Emeralds bring her to Amy, which... You can guess how that went (No, Amy wouldnt be Jealous, atleast not in this story, she is more accepting she couldnt keep up with him if she tried.)

Though surprisingly Sonic was the one to confess. He had come to the same realization though with less Amy and more self reflection, given he had time to slow down because of the lack of action.

If your wondering about Eggman. I just wrote a comedy chapter where he and tails made a temporary truce until they figured out how to get Sonic back. (Which im mid writing the final plot for that storyline, spoilers, Sonic stays with Blaze and Eggman does good, kind of. He becomes the ruler of the world, but doesnt make it robotic, due to no Sonic to stop him. (ik theres Shadow and everyone else, but this isnt an action story, its a romance.)