Because your premise is all wrong.

Their life is more important to protect from particular threats than everyone else's, because they're in a position where we expect them to make rulings based on their expertise and judgment rather than their fear or concern for popularity, and because they are more frequently in a position to garner someone's resentment or hatred than most of us are.

Just because we're all equal in the eyes of God doesn't mean our society should pretend the world isn't complex.

So same question to you, is their life more valuable than yours?

You're being disingenuous. There are different ways of measuring value, so when someone says "yes" you pounce on that even though that particular equivalency/measurement isn't the whole story when it comes to how we organize society.

No, you’re missing my point! To you, what is she? Some random person. Her life is not more important. If she’s scared for her life, then she should find a new job. Giving protection to certain people but not others is the definition of elitism. She’s a human just like the rest, is scared for her life just like the rest, yet only she gets extra protection? What you’re saying, pretty well directly, is she’s somehow better than the rest of us.

She is not some random person to me. She is someone I have granted (through my government) a position of power and trust, which exposes her to certain risks which I want to protect her from, because being scared for one's life is not a quality that I want in people adjudicating legal disputes and criminal sentences.

Should we deprive emergency room doctors of N95 masks, just because I can't buy any on store shelves?

Supply and demand is a separate thing. People stockpiling these mask has led to this shortage. What you are suggesting with regard to protection is a universal right.

And yea, if a Dr is so scared of contracting a disease in a profession specifically putting them in this situation, they should also quit their job. Certain jobs require a strong stomach for risk. Don’t take it if you can’t handle it.

Also let’s not forget she not only didn’t teach her son to check who’s at the door before opening it, she can also very easily defend herself using her second amendment rights. Just like the rest of us.