No, she isn't.

By definition, a gamble is:

"wagering money or something of material value on an event with an uncertain outcome with the primary intent of winning additional money and/or material goods"

Since there has been no initial stake, it's the equivalent of entering yourself into a free prize draw, since there is a minimum guaranteed win.

The fact that you are given a choice of routes to take to reach your eventual destination is not a gamble, but more a selection of uninformed choices.............. although of course it looks like gamble because you are offered a settlement amount, and can go on to risk that for more or less money, that becoming your intial stake at each point.

But viewed from start to finish, the game is not strictly a gamble.