I suppose this all depends on definitions. Merriam-Webster 'a putting to death especially as a legal penalty'. She was deliberately put to death. If she was climbing through the window she was of no immediate threat to anybody. Was she armed? I don't know, does anyone here? I still rest with the issue that non-lethal force was available. The potential of what someone else might do is not justification for killing another person. Killing her to discourage others is not a justification for homicide. I would be happy to substitute 'homicide', 'murder', 'kill'.
I do recognise that many of these people were armed. I think the second amendment is stupid and this is a direct consequence of the second amendment, indeed one can say this was the justification for the second amendment. But a key thing (one that one can hear in every dubious shooting of a black man by a LEO) "once you draw your weapon like that, you have to defend yourself with deadly force." No, a police officer drawing a weapon does not mean that by merely drawing his weapon he is justified in using it.
I think posters here do not know what terrorism is. Terrorists would have roamed the corridors shooting everyone they saw, terrorists do not target. This was not terrorism. They were not a radical political group who took hostages and entered into negotiations, they were not political activists who occupied the capitol with a lock in. I have heard no report that a single shot was fired by these rioters*. (I may be wrong and if so I anticipate a stream of corrections.) They stole a podium.
If police officers (or anyone else) were assaulted then the individuals concerned should be prosecuted. I do not defend attacking a police officer with an extinguisher (I have not seen a report of this, but I am sure that the poster who said this knows this as a fact, and I accept this). But this does not justify killing other people.
These maybe horrible neo-nazi scum but they need their rights defended in the same way as every other human.
I think it is deeply sad the police officer died, however it happened. I think it is sad that others died who perhaps might not have had there not been a riot. I am not sad a weirdo right wing Trumpist woman died, but I still thinking shooting her in the face when she was climbing in through a window was unnecessary. I know 'stand your ground' is a US thing, but I do not think this is a reason for killing someone.
ETA
* Within the capitol