You can probably leave it broke and not hurt a thing unless you idle a lot in cold weather (below freezing). The AIH only activates when GPR is inactive, ambient below 32F, and if you haven't come off idle after starting. The AIH is there to help warm the intake air and prevent smoke during extended idle. Many folks (Florida?) AIH has probably never come on.

Sorry, don't have the part #, but the Int'l # should be stamped on the bracket. Should be 9-10 digits ending with C_. Take that to the Int'l dealer to get a replacement. Or just ask them for an AIH relay for a 99 or newer T444E engine.

On Edit:

Try this. Not 100% sure, but could be what you're looking for.
RLY - ENG A/INTK HTR
Ford F81Z 6G015 AA shows list of ~$57 on the online ford part dealers
Int'l 1831645C1

 

Thanks a lot klhansen. I very much appriciate it. I dont even have a AIH, i just want the relay b/c when you look at the motor, first thing you notice is a big brown relay with the top broke off.

thomas