It has long been accepted among designers that serif fonts are for print and sans-serif for screens (and if you like, display type and headings.)
Alex Poole writes persuasively that this is balderdash; urban myth perpetuated by the ignorant.
I’m going to find a beautiful sans-serif font and use it for the print version of my next mystery.
I already use serif fonts on many of the websites I’ve designed.
So far, nobody’s died from it.