AtD translation: though to what pleasures given posed a question far too dangerous

[Mike Jing]

P141.24-32   “More like due diligence,” replied Dr. Counterfly, “and a
respect for probabilities.” He gestured toward the image transmitted by the
prisms of the instrument, which had been growing steadily clearer, like a
fateful dawn none await with any eagerness. Too soon we discovered that we
could not look away. Though details were still difficult to make out, the
Figure appeared to recline on its side, an odalisque of the snows—though to
what pleasures given posed a question far too dangerous—with as little
agreement among us as to its “facial” features, some describing them as
“Mongoloid,” others as “serpent-like.”

What does "to what pleasures given" mean?
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://waste.org/pipermail/pynchon-l/attachments/20180215/e3221bff/attachment.html>