Today, I find that despite her failing health, Anglika found time to answer the students of this forum.
Simply great!!!
Yes and no. And perhaps part cultural not linguistic. "Simply great" may be expressing a bit too much enthusiasm in a situation when someone's health is failing (unless one was discussing a significant improvement of course). In fact, to say that someone's health is failing implies a serious and deteriorating medical condition, which as such is a private matter, usually not something people like to see discussed on a public message board.
And a question for the sticklers for tenses. Would a present perfect be better here, as in "Anglika has found the time* to answer the students...If so why?
*for the ultimate hair splitters, the idiomatic expression is to find
the time to do something.