I didn't understand "deuo". Anyway, if inflorescence is "woody" it's dead. It doesn't matter if you cut it now partially or wait till it's all dead.

Don't cut! Early bird, I think "woody" here may refer to part of the plant, not the flower stem.

Don't cut anything til you know what you have and what you are doing. If you can post a picture, you'll get better advice.

If you can't post a picture, visit the American Orchid Society web page culture sheets. Each one has a silhouette drawing of a type of orchid. Come back and tell us which one your orchid resembles, and you can get some good advice on how to grow it.

I think it's a phal - don't spikes left on the plant die back from top down, turning 'woody'? Google phal and let us know if that's what you have

If it was the stem that held the flowers, it's called a spike. Often the spike stays green and may sprout again. But more often the spike starts to brown from the top down. If the spike turns brown all the way to it's base, it won't bloom again.

Maybe its a older dendrobium cane or spike. Don't cut anything until you identify the plant.