He would not wear one, but everyone else could.

If the virus is still raging, everyone should, including him.  Even Mitch McConnell, Trump's chief enabler, has endorsed wearing masks.  https://www.cnn.com/2020/06/30/politics/republicans-encourage-wear-a-mask/index.html

also see

https://www.foxnews.com/politics/mcconnell-face-masks-protecting-everyone

Mitch McConnell, senate leader, can make his own decisions.  It’s none of our concern whether the President wears a mask or not.  I don’t know how you do it.  I can’t sustain the anger of hatred continually. That must be exhausting and a lot of negative energy.  

Showtalks says;  "Mitch McConnell, senate leader, can make his own decisions."

No.  He's recommending that all of us wear masks.  It's a blanket statement:

"We must have no stigma, none, about wearing masks when we leave our homes & come near other people,” said McConnell, R-Ky. “Wearing simple face coverings is not about protecting ourselves, it is about protecting everyone we encounter."

“In fact, the more we dislike the pain and suffering caused by the strict stay-home guidelines a few months ago, the happier we should be to take reasonable small steps every day to ensure our country can stay on offense against the virus [bolding mine --MD].” McConnell added.  https://www.foxnews.com/politics/mcconnell-face-masks-protecting-everyone

showtalk says:  "It’s none of our concern whether the President wears a mask or not"

I disagree.  He should provide a model.  I'm sure that there is a smattering of people who say to themselves "if he can do, so can I."  Not really a good attitude under the circumstances. 

showtalk says:  "I can’t sustain the anger of hatred continually. That must be exhausting and a lot of negative energy. "

That's rather humorous.  You know nothing about me but keep trying to insult me.

That's like an abusive father telling his son "do as I say, not as I do" when he smacks his wife.

Leaders should lead by words, by actions and by example.  Just leading by words is simply blowing hot air.

Is it possible that certain high up politicians are tested daily along with their guards and staff?

I am not trying to insult you, it’s an observation. Many times when you mention a major Republican figure you call them names that come out of anger or derision when most people use them.  It’s happening so often, I made the assumption there was emotion behind it.  If not anger, then what? I don’t mind being corrected.  It is still very negative, whether anger or not.  

It’s impossible to speak clearly with a mask on. Did you hear Joe Biden?  I’m not going to say anything rude about him, but his speech was muffled and sometimes incoherent.  If Trump does that, they will mock him and say that proves he should not be president. He can’t win no matter what he does, so he will probably do whatever he wants to do. If he decides to wear a mask, he will. 

Really good point about masks. Sometimes things make more sense if we try to walk in the shoes of others and play "what if" before a snap judgement is made.

I’ve tried very hard to talk about both sides without bias, but when I say anything that isn’t negative about the right it doesn’t go over well.  Politics is a land mine even during good times.  I don’t mean to offend anyone, but I do examine posts from my perspective.  What would I be thinking if I had made a post? How does my reply look to others? I can do a better job of maintaining neutrality. At the same time, I’ve noticed a pattern among posts about right side politicians. Almost all are negative and many call them names or add biased adjectives.  I would rather discuss all sides in the same way.  If I would not call one side names, then I would not do the same to the other side.  I actually find faults on both sides, but I try to balance one side by posting information about the other side. Apparently that is not acceptable.