[EVIL EVIL CHUCKLES.] The TARDIS' soul and heart is made of the time vortex bound up and then inside out of it. This lets her travel her universe. The Doctor gave Meta a piece of her coral so we can try to have one in Pete's Universe, but it'll take a lotta growin', just to make her able to handle that universe, and to make her her own baby.

There's no time vortex in the void. Not even an alternate universe one.

Soooo....

[AKA: IT IS IMPOSSIBLE TO SAFELY PUT THE TARDIS IN THE VOID :V She is specifically not able to handle the void and not a void ship. She is completely blind in the void, and her heart and soul are basically separated from her by the void stuff.]

[:V]

[Rose might be a little too exhilarated by the prospect, nevertheless.]