Just because you've never sleep walked (or sleep talked, for that matter) doesn't mean that your experience of a spider in the bedroom is not a confusional arousal. There are number of different symptoms you can read about at the second link, and this is just one of them. It occurs when you are stuck between sleep and waking. It can occur at any age. Being in the dark and/or in the bedroom when you "see" the spider and being terrified are the big clues. There's much more on this website about it, including a video on the homepage, podcasts, and examples from other dreamers, all of which you can find in the search engine.
That having been said, only you can validate the meaning of dream/experience.
Anyway, hope that helps. Stay safe.