In your secenario are you maintaining altitude?
A steady headwind or tailwind will have no effect on your airspeed (I figure you know this, but it is not clear from your question whether you do.)
An increasing headwind will result in an increasing airspeed, so that's not going to bring you closer to your stalling speed.
Only an increasing tailwind will decrease your airspeed and possibly cause you to approach the stalling speed. If this happens you have two options, increase power, and/or lower the nose. If you don't have the excess power available then you must lower the nose, maintaining assigned altitude is not a consideration.