Is It Lawful to Heal on the Sabbath?

In Matthew 11 and 12, the people are listening to Jesus. In Mark's version, Jesus says it's lawful to do good on the Sabbath or to kill. Thomas Aquinas in this commentary on the Gospel of Matthew points out that when people are antagonized by what you're saying, you don't continue to pile it on. If you want to win people over, right? You care for them. And so Jesus withdraws, not because he's worried about himself, I think because he's more worried for them than anything else. This was to fulfill what was spoken by the prophet Isaiah.