After these things, Jesus came with his disciples into the land of Judea. He stayed there with them, and baptized.
Nothing may be made of the fact that Jesus did not baptize, but his disciples baptized.  See under  John 4:2.  What one does through his agents he is lawfully said to do; therefore Jesus baptized.  Why did he refrain from doing so personally?  It might have given rise to jealousies and strife, later on, through some claiming greater privilege in having been baptized personally by the Lord.  Perhaps, as noted above, it was to avoid any mistaken notion that Jesus was one of John's subordinates. Furthermore, although Jesus had submitted to God's baptism as preached by John, and for a time administered by himself through his disciples, he was nevertheless above John's baptism in the sense that baptism in his own blessed name was designed to succeed it.  For more on the baptism of Christ, see my Commentary on Matthew,  Matthew 3:13.