Hi, Catt 17. You aren't going to hurt any phal or mess up anything by cutting off the spike. That's true even of summer-bloomers (the ones you're supposed to keep the spikes of).
Keeping the spike on the summer bloomers is done because they will continue to bloom with one or two flowers, as well as blooming on the new spikes.
I looked Tzu Chiang Orange up in Orchiwiz, and it is just about half summer-blooming ancestry, and half winter-blooming. Also, it is 25% equestris, so it should bloom with many flowers at once, and this would be furthered by cutting off the old spike.
Some people say "never cut the spike if it's green", and it's true you can get one or two more flowers at a time off it by keeping it. Cutting it off makes it likelier to form a new spike that will have more flowers on it.
A healthy vigorous plant will sometimes follow up with a new spike in just a few months after cutting one off.
I usually cut the spike off when thru blooming, tho not every single time. There's a lot of room there for individual taste or preference.
BTW, Tzu Chiang Orange looks like a really lovely one. Congrats.