So because I am very normal about Silmarillion and it outweighs me having the confidence of a wet noodle I think there are some details that should be noted for the whole background part
Okay, let's hope I still remember my stuff
1) With Ungoliant I think one of the funniest parts is that between several drafts and editions no one really knows what exactly is she supposed to be ultimately. Between editions she was a creature of primordial night or a rogue spirit among the Ainur or self-formed from the outer darkness as a response to Morgoth's tantrums, but largely she has just invited herself into the plot.
So calling her a deity is not entirely wrong, but there is Nuance.
2) With the tiers of deities it is a bit weird, because yes, there are Ainur as a general name for the group of these powerful spirits. And among them there are Valar, who are the most powerful and kind of like "chief gods" (listen, I am not Christian enough to explain it from the archangels standpoint), and there are Maiar, who are largely less powerful and work on assistant positions.
But it is not precisely clear-cut in terms of strength as some among Maiar are very strong, like Sauron or Eonwe, while others are not. Balrogs were actually also Maiar, just playing for the evil team. And one of them drowned in a fountain after being stabbed by a pointy helmet.
With Wizards (Gandalf, Saruman, Radagast and Blue Wizards) I believe they were artificially nerfed before coming to the Middle-Earth for balance reasons, but are otherwise in their normal state also Maiar. Maiar is a broad group. Giant talking Eagle is supposedly a Maia. You lovely infrequently talking dog called Dog might also be a Maia.
3) I don't recall Morgoth being after any nectar in particular, Ungoliant was slurping tree juice, yes, but I don't think he partook.
I believe the essence of their deal was that Ungoliant will help him destroy Two Giant Glowing Trees (from which later came the Moon and the Sun, but I digress) and cause some mayhem, while he in turn would feed her pretty gems with both of his hands, phrasing crucial.
In the end Morgoth tried to keep gems called Silmarils, obtaining which was his second, secret agenda, which Ungoliant didn't like and tried to murk the guy only to be defeated by a host of Balrogs, who have arrived after Morgoth started yelling. They actually do have an entire geographic area named after that. Lammoth, the Great Echo.
4) I don't believe Sauron had any... Relation or claims to Silmarils. The one who wore them between him and Morgoth was actually the later, made a special Iron Crown for that.
5) I would hesitate to think that Sauron attacking Shelob would have any effect on Morgoth and Ungoliant relationship not lastly due to the fact that Ungoliant by the time of LotR is most likely and highly suspected to be dead (and would be confirmed so by text in some earlier drafts, iirc), while Morgoth was banished to the Shadow Realm more or less and will only get back for the Middle-Earth version of the Ragnarok. If at all (canon status of Dagor Dagorath is dubious at best).
Might also be too busy shitposting on Twitter for all we know.