The phrase is quintessentially British and more common in British English than American English. She found herself on a sticky wicket when dealing with British clients.
Pro Tip 2/3
Colloquial Use
It's informal and typically used in casual conversation, not in formal writing. He's been on a sticky wicket since he lost his job.
Pro Tip 3/3
Metaphoric Sense
Used metaphorically to indicate any kind of challenging situation, not just in cricket. Negotiating this contract is a sticky wicket.