I think that you got it a bit back to front, if you were flying into a rapidly increasing Headwind, INCREASING Airspeed would be your problem!
I've experienced a rapidly reducing Tailwind, with rapidly increasing IAS/Mach, IMMEDIATE full thrust lever closure and full speed brake deployment was required to arrest the increasing speed, and then MMO was exceeded. Our company recommendation in such circumstances is to apply the speed brake first, then thrust reduction.
If the opposite were to happen, i.e. rapidly decaying airspeed, apply the maximum thrust possible, and, if this is insufficient to prevent approach to stall, lower the nose (as you would in a stall) until a safe speed is reached.
Regards,
Old Smokey