considering that there were only ever 2 xenomorph hybrids in the Alien universe officially, it's hard to say what their individual ranks within the hive would be

Ripley 8 was held in high regard by the cloned Xenomorphs which could be considered her children, to the point where she was able to approach the hive queen relatively unharmed, even the queen sought her guidance during the period where the Newborn was gestating. It's safe to say that her rank would have been Empress

Meanwhile, the Newborn killed the cloned queen in favour of Ripley 8 upon birth, its rank in the Hive is somewhat hard to analyse. I personally haven't viewed Ressurection as of now, but it is on my list of goals. I assume that the Newborn would have held the rank of warrior or Praetorian, maybe the same rank as the Predalien (which i believe was a queen, but not technically a Hybrid as it was born from the DNA reflex and not a simple fusing of DNA through cloning).

on a side note, there are two possible explanations for the nature of hybrids, the first being that they come in two versions with one being human who is able to create other human hybrids through reproduction and the Xenomorph hybrid who is born from lesser hybrids like the cloned queen, the Xenomorph hybrid typically resembles what the Newborn looks like. The other explanation is that every Hybrid has his or her own different individual mutations and allignments, with it being possible to assume that those that look human would often allign themselves with humans and the ones that are more Xenomorph would allign themselves with Xenomorphs. With the latter explanation, The hybrids would fit into one species with an average level of intelligence, lesser hybrids such as the cloned xenomorphs wouldn't count as these hybrids as they are nigh perfectly Xenomorph, with differences in intelligence only