Cape Westwind is the first 8 man trial, and as such appears in the trial roulette. During "peak" play hours, the DPS que for the trial roulette is usually under 5 mins on my data center - and basically instant for tanks. Im guessing based on your name that youre from New Zealand and thats why you made a character on one of the japanese servers. You might speed up your que for this duty(as well as future content) by checking japanese as a language in addition to english. Otherwise, my advice would be the same as i saw up above. Ask your FC for help, advertise using the party finder that you need to clear for story progression, or ask in novice chat if you can. This particular duty goes fast(less then 3 mins) whether you do it synched or not so just dont blink or you might miss it.