So, did you skip tutorial entirely or just the "get more ships" part? It is viable to skip tutorial and begin your journey with just 1 or 2 frigates, but I would recommend a beginner to play tutorial 100%. Because tutorial teaches a few important things. And the combat in the starting system usually is not too brutal.
There's not much noob trap in Starsector - especially as each new release is more polished than the previous one, so less rough edges. One just needs to learn the basics, then explore gameplay freely and slowly immerse oneself into the depth. Because, yes, the game has a fair amount of depth.
Having said that, your first impressions are important, because you are the one likely to notice rough edges. So feel free to write feedback on the forum, in the end it could help improve the game!