Interesting theoretical scenario but by what means would you get a wormhole to acceleratate
Hey, if you're clever enough to make one, you should have no trouble moving it
what effect would the means of acceleration have on the stablity of the wormhole?
Wormhole stability is a big question in itself, before you even start thinking of moving it. You have to prop it open with what we call exotic matter, effectively negative energy density. The Casimir effect is one way of generating this. However, since the time I working on wormholes, we have discovered the universal expansion is accelerating, driven by such a negative energy density.