Definition of "vexed"

He would be left in no doubt that they were annoyed. He might even go so far as to deduce that they were quite vexed.

1990, Terry Pratchett, Eric, page 72

The question, however, as to whether rinderpest bile is capable of producing the disease in a herd innoculated with it is a very vexed one, and round this point heated controversies have been waged in other places than in Natal.

1901 December 6, H. Watkins-Pitchford, “Rinderpest”, in The Agricultural Journal and Mining Record‎, volume 4, number 20, page 610

I leave aside the vexed questions about whether one or two peploi were woven and presented to Athena during the Greater (every four years) and Lesser (every year) Panathenaic festivals […]

2004, Mary Stieber, The Poetics of Appearance in the Attic Korai