This is interesting. Its interesting because we really have no idea how a nuclear explosion would interact with fictional shields. So lets take the a ships hull and work from there. A nuclear explosion releases a tremendous amount of energy. There is a familiar formula for that somewhere I'm sure. With space offering very little in the way of resistance you could rightly assume that at least half of this energy would be encountering the hull of the vessel, there to work its wonders on the hull, the atmosphere within the hull, oh and generally just anything the radiation could penetrate. Radiant energy acting upon the matter of the ship and its contents would likely propagate all the fun effects we normally associate with nuclear explosions. As we can assume that different components of the ship would offer different resistances to the various forms of radiation now sleeting over them we can envision some sections to become rather toasty as they accumulate more than a fair share of energy. MMMmmmm....S'mores.

Lets get Nuclear Shaped Charges out of the way. Lets just say it can be done and that if it was done it would behave like a conventional shaped charge weapon with the added bonus of having so much collateral damage from the intense burst of electromagnetic and thermal energy that you entirely forget to compliment your ships executioners on the hole they made through it before you vaporize into a mist somewhat reminiscent of lilacs

The shaped charge in conventional weapons has its effect notably improved by adding a metal liner to the inside of the shape charged. This metal is liquified in the explosion and becomes a molten penetrator carried forward by directional energy of the rapidly expanding gasses (gasses that were formerly a rather orderly bunch of molecules loving shaped into an explosive cone by bakers in France). This explosion needs to take place at a precise and uncomfortably close position to whatever it is that needs penetrating. So yes anything that disturbs that positioning including our fictional shields would render them useless.

IMO we should weaponize these forums as their ability to transmit vast amounts of heated atmosphere is unmatched.

Actually, we do. It is shown that weaponized radiation bypasses shields. Radiation torpedoes will splash against the shields, losing its kinetic damage but the radiation will carry on through unobstructed.

I UNDERSTAND why the Borg do what they do... The life of their drones is irrelevant. The life of one of their Queens is likewise irrelevant. She is not unique or all controlling like an Ant's Queen. So is just a regulator.

The Borg ignore people on their ships because they do not consider them to be a threat. They ARE over confident by their nature but so few species pose any real threat that this confidence is often deserved. To the Borg it is like "Go ahead and look around... This will be your new home very soon." LOL.

And as Hugh told us: the Borg assimilate races, not individuals.

ARE they different Queens? I thought that there was only the one Queen who simply took control of different bodies when she felt that she ought to handle something personally.

In first contact Picard asked her how she was alive. Because she was on the cube that was destroyed. When he was assimilated. She said you think in such linear terms and she was the Borg. So they can assemble her on any craft.

From Memory Alpha:

By the mid 23rd century, advances in deflector shield technology led to nuclear weapons losing their tactical significance. Romulan Birds-of-Prey employed them solely as self-destruct devices, and such a warhead detonated point blank in front of a starship caused relatively light casualties as well as temporary electrical disruption. (TOS: "Balance of Terror")

Well... In a way they have one Queen but in a sense they have many. She is NOT so much a single person or consciousness. She literally is a controller for the entire Hive Mind... It is like she is a router. However, her body is irrelevant because they have many bodies like that which can be used as the focal point for the Borg Central Router. So killing any given incarnation of her is rather Futile... To destroy the Borg Queen would require you to destroy the entire Borg Collective... As she, herself, stated she IS "the Borg".