Can caring for ourselves be a way of caring for others?

Jesus answered him, "The first of all the commandments is: 'Hear, O Israel, the Lord our God, the Lord is one.  and you shall love the Lord your God with all your heart, with all your soul, with all your mind, and with all your strength.' This is the first commandment.  And the second, like it, is this: 'You shall love your neighbor as yourself.' There is no other commandment greater than these."
Mark 12:29-31

Jesus was asked what is the greatest commandment.  His answer reveals a number of incredibly important lessons.  Here are just a four of them:

First, the two commandments Jesus cited are summaries of the entire 10 Commandments.  The greatest commandment is “love God,” which is a summary of the first four of the 10 Commandments.  The second greatest commandment is “love our neighbors,” which is a summary of the last 6 of the 10 Commandments.  Those who dismiss the 10 Commandments as irrelevant are dismissing the two greatest commandments.

Second, which of us is not guilty of breaking both of these greatest commandments?  Fact Check: We are all guilty of breaking both—and all 10!  This is why we need a Savior!

Third, a false teaching that some still affirm as true is that we must love ourselves before we can love our neighbors.  That is not only not what Jesus said, since He gave two, not three commandments; it is at odds with the general teaching of scripture.  The fact is, all of us already love ourselves and we are continually instructed in the importance of humility, which is contrary to the notion of loving ourselves—especially before loving our neighbors.

Fourth, having said that, Albert Mohler recently said that in these days of the Corona Virus, if we are loving our neighbors we must be careful not to get sick—not merely for the sake of our own health, but for the sake of (a) being able to lovingly care for others, and (b) for the sake of not unnecessarily needing others to care for us.

That is not saying that we should view those who need our care as a burden.  It is a reminder that optimally, loving others means giving care, and not receiving care unless we legitimately need it.