So you or me entering this woman's home with guns drawn - we have the same obligation to be there as a cop.
This whole "oh but the cops are scared for their life" crap needs to stop. They have no obligation to do anything, so anytime they do, it's their choice. Just as much their choice as you or me busting into a home with guns drawn.
You wouldn't be sitting here sympathizing with how a random burglar is totally justified in entering a home with a weapon drawn because the homeowner could be armed.
Why do you do the same with cops?
Edit: to summarize my point: cops have no obligation to be there, so if their solution is to enter with guns drawn and barking orders, we shouldn't try to sympathize with that behavior. We should tell them to stay at home and cuddle a teddy bear instead. A lot more people would be alive today if we quit making excuses for why cops are so eager to kill people.