vexed

Vexed means "difficult and much debated." If your family is having trouble coming to an agreement about where to go on vacation next summer, your holiday trip has become a vexed issue.

When people can't resolve an issue or find a solution, it is a vexed problem — one that's become complicated because of differing and probably strong opinions. Vexed can also describe being irritated. If you borrowed your sister's car without asking permission, and if she had a fancy way of putting things, she might tell you she's incredibly vexed with you right now.

Definitions of vexed
1

adj troubled persistently especially with petty annoyances

“the vexed parents of an unruly teenager”
Synonyms:
annoyed, harassed, harried, pestered
troubled
characterized by or indicative of distress or affliction or danger or need

adj causing difficulty in finding an answer or solution; much disputed

“the vexed issue of priorities”
“we live in vexed and troubled times”
Synonyms:
difficult, hard
not easy; requiring great physical or mental effort to accomplish or comprehend or endure

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