There's a certain set of circumstances under which "physical immortality" would be fine.
A.) The community as a whole must have the same gift of immortality.
B.) It has to be somewhat limited. Something like: you won't age physically, you won't die of old age or illness, but in accidents or by weapons you can still be killed, as well as by starvation, dehydration, or asphyxiation.
C.) Hope that star from which your world derives its life energy isn't going out anytime soon...
If those three conditions are met, then maybe I'd take eternal life. Otherwise, I'll take my chances with the afterlife.