Your presumption is that she assumes there is a Judeo-Christian God. She knows there is. She also knows there is no other god. The bible tells us this. You inserted another god for your argument.
The only argument that I can see that be made against her is if there is a Judeo-Christian God.
Correct?
Negative, she clearly made an appeal to the atheist. She told the atheist that the atheist ought to be worried and that the Christian need not worry because:
If no God, nothing.
But,
if a God, then the Christian goes to heaven and the atheist burns in hell.
It's Pascal's wager (just not as eloquently stated). And, it has the same pitfalls of Pascal's wager, namely, that the disjunction (Judeo-Christian God exists or no God exists) does not exhaust all of the possibilities. One can easily add to that disjunction:
(the Hindu God exists or the Norse God exists or the Hellenic God exists or the Judeo-Christian God exists or no God exists)
Further, for each of these dieties, one can very readily assume they are jealous, and they demand that persons believe in them, else they are damned to suffering. This leads us to the following:
If the Hindu God exists, then Hindu believers will eventually reach eternal bliss and non-believers in Hinduism will receive suffering.
If the Norse God exists, then Norse believers will eventually reach eternal bliss and non-believers in Nordic religion will receive suffering.
If the Hellenic God exists, then Hellenic believers will eventually reach eternal bliss and non-believers in Hellenism will receive suffering.
If the Judeo-Christian God exists, then Judeo-Christian believers will eventually reach eternal bliss and non-believers in Judeo-Christian religions will receive suffering.
The Christian, therefore, has in no way secured the best possible outcome, as Pascal would have one believe. Further, whatever God exists might fault individuals for being idol worshipers (i.e., worshiping false gods), yet take mercy on individuals who simply say, "I did not have enough information to make a decision" (and, that assumes belief is a choice...which, we will not get into here, but it is very problematic).