"I'm prepared to put it on the line for my country and I can't as the selectors didn't have the foresight to see they should always have a plan B," BBC Sport quotes Cave as saying.
"We could have had the best team in the world and we are now down to nothing. I'm almost embarrassed for the Welsh team right now."
Team Wales have stated that Cave was not considered for competition because she was not nominated by Welsh Triathlon.
Reigning world champion Stanford pulled out of the Games in June with an ankle fracture, while Jenkins was ruled out yesterday with a foot problem.
Cave was not included in the reserves list.