Ummm...what exactly do you think the difference between her being frozen while she's alive and one minute after is?
Are you hoping to freeze her soul in with her or something?
Except it's not done one minute after death. They cool the body and such, but it takes several hours to get the body to the facility to actually freeze it. Which I would guess makes a big difference. It's one thing to have to figure out how to repair all of the damage caused to cells by freezing them. But after death CO2 builds up in the cells and autolysis occurs, dissolving the cell membranes. It will start occurring around 10 minutes after the heart stops moving blood. However it's still unknown at what point enough cells are damaged to cause permanent brain damage. But under normal temperatures, I would doubt any period of more than half an hour would cause irreparable damage. Which is pretty optomistic
Autolysis is also temperature dependent. So the colder the body is the slower it occurs. That's why people who drown in close to freezing water have been revived after an hour. I think the current longest time was close to 2 hours. But I don't think they can get the brain down to a low enough temperature fast enough. Even at low temperatures, autolysis will occur, it's just slower. So until the brain is in cryo, it's dissolving itself.
That said, being able to repair the freezing damage is going to require nano repair technology of some kind I would suppose. And if we get to that point, I don't see what's stopping people from becoming virtually immortal. If you can put nano repair robots into someone, why not have them in your body to repair any kind of cell damage almost instantaneously on a continuous basis. Then we'll just need some form of telepathic communication and we and go about the universe in cube ships assimilating everything we can find. ;-)