GR translation: which is worse

[Mike Jing]

V713.15-21, P727.23-30   Oh yes, isn’t that exactly what They’ll do.
Bringing Roger now, at a less than appropriate time and place here in the
bosom of the Opposition, while his life’s first authentic love is squirming
only to get home and take another wad of Jeremy’s sperm so they’ll make
their day’s quota—in the middle of all that he has to walk (ow, fuck) right
into the interesting question, which is worse: living on as Their pet, or
death? It is not a question he has ever imagined himself asking seriously.

Is "which is worse" part of the question, or is it an adjective clause
modifying "question"? The published translation thinks it's the latter, but
it doesn't seem right to me.