“Not everyone can accept this teaching, but only those ...” (Matt. 19:11-12)

“Not everyone can accept this teaching, but only those to whom it has been given. For some are eunuchs because they were born that way; others were made that way by men; and others have renounced marriage, because of the kingdom of heaven. The one who can accept this should accept it.” (Matt. 19:11-12)

What does 'to whom it is given' mean?

This follows this statement placed by his disciples:
“If this is the situation between a husband and wife, it is better not to marry.” (Matt. 19:10)
Jesus is admitting that this teaching about remarrying being equivalent to committing adultery will be difficult for many people to follow. But he is also stating that he meant this instruction specifically for those whom he was speaking with. Who was he speaking with?

He was speaking with some Pharisees that were challenging him regarding Moses' teaching about divorce. And they came to "test him" according to Matthew 19:3.

Jesus is clarifying that the instruction was intended to "those it has been given.”

This means Jesus was directing his instructions specifically to those who were seeing themselves in the position of teachers, representing Moses. He was also instructing his students and disciples.

These instructions were different than ones Jesus gave to a general audience. Jesus utilized parables in these cases, as he spoke of the Supreme Being in a more general manner.

What are eunuchs?

The word "eunuch" here is translated from the Greek word εὐνοῦχος (eunouchos) which can mean someone who as been become emasculated - their genitals were removed. But this also means a person who is impotent and cannot have children, or someone who simply doesn't marry.

Jesus is covering all these possibilities. But he is also covering another - someone who has become celibate due to their dedication to the Supreme Being: "others have renounced marriage, because of the kingdom of heaven."

This means that while impotence was one reason a person might not have a family - another related to a devotional decision: Dedicating one's life to the service of God.

What does he mean by 'the one who can accept this'?

Jesus is offering leeway in this discussion of marriage. He is suggesting that we have some flexibility in terms of whether we want to marry or stay single.

We also see here by default and by the previous statement that indicated a person should not whimsically divorce that Jesus did not teach that everyone must be celibate.

Otherwise, how would the population continue? How would people have a chance to raise children and steer them towards coming to know the Supreme Being if everyone was celibate?

Didn't Jesus teach the importance of family?

What Jesus' statement also conveys is that he did not teach that the family was all-important as many teachers of some sectarian institutions teach. These teachers sentimentally proclaim the importance of family, yet Jesus specifically taught the importance of dedicating one's life to the Supreme Being - whether having a family or not:
" 'Love the Lord your God with all your heart and with all your soul and with all your mind.' This is the first and greatest commandment." (Matt. 22:37-38)
Marriage and family life can become extremely complex. There are lots of logistics to be attentive to for a father or mother. This requires a focus on the physical issues of children and their protection. This can distract a person from their focus upon their devotion to God.

Family life can also encourage misidentification with the physical body. These physical bodies are temporary. At the time of death each of us - the spirit-person within - will leave this physical body and all the body's family behind.

Then again, if one can share the worship of God with their family members, family life can be used as a service to the Supreme Being.

In other words, we can utilize our talents and strengths, whether as a parent or a single person, towards loving, serving and pleasing God. These are practical teachings of Jesus.