Unfortunately for their enemies, they pissed off the wrong woman. 

Ling derives more than a little satisfaction, hearing the deep booms echoing in their shelter, and emerging to dead enemies and demolished fortifications - though she won't have time to savor it, not until every last enemy is destroyed. 

Dead enemies in this case doesn't necessarily mean harmless- But she's taken out the dragons and most of the roofs, leaving the ghouls and zombies to scramble out and up a treacherous path to try to strike back.

That treacherous path makes them easy pickings. 

How... infuriating.

A large blast of magic spears straight up into the sky, exposing an icy pedestal at the top of the citadel where a shrouded figure rests, frozen upon a throne.

How does he feel about getting hit by siege weapons? (These are not very accurate weapons. There's enough firing that accuracy doesn't, actually, matter.)

Not positively.

As the platform crumbles beneath him, the Lich King in his block of ice swoops up into the sky. A magical blizzard kicks up and focuses on disabling the artillery.

Is the blizzard strong enough to prevent her from firing an alkahestric anchor at him?

The winds are high and visibility is poor. The Lich King, while smaller than a dragon, isn't a tiny target.

Firing an anchor out of a gun or cannon is a tricky proposition, but the winds are too high and distances too far for more traditional knives -

And Ling is very, very good at what she does. 

She'll try it, at least. 

And... she manages to land a hit.

Time to rip him apart. 

She'll have to pump a considerable amount of power into her efforts to get through the magical wards.

Power is something she has.

How about ability to avoid exploding shards of supersonic ice, is that something she has? Because that's what she'll get when the frozen throne breaks.

The exertion of power alone would've been enough to render her nearly unconscious -

She's going to need help on this one.

Fortunately, she has it.

Brigid is moving by the time the first cracks appear, and she spreads her wings wide in front of Ling, sheltering her with her larger body.

She curls into Brigid's protection.

Nothing makes it through to hurt Ling.

And as the hail of shards dies down, so does the blizzard.

...Brigid may also need to carry her from here. Ling's exhausted, somewhere deeper than her bones.

Yeah. She can do that.

She curls into Brigid and drifts off, half out of consciousness. 

She cradles Ling tenderly, and gently takes off to find somewhere safe to rest.

She's certainly comfortable. 

Brigid will make sure she stays that way until she recovers, finding a quiet bolthole where they can stay safe.

She wakes up after a little while, snuggling into Brigid more and cracking her eyes open.