Today, I find that despite her failing health, Anglika found time to answer the students of this forum.
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.