Matthew 6:5
"And when you pray, you must not be like the hypocrites. For they love to stand and pray in the synagogues and at the street corners, that they may be seen by others. Truly, I say to you, they have received their reward.
Matthew 6:6
But when you pray, go into your room and shut the door and pray to your Father who is in secret. And your Father who sees in secret will reward you.
they love to stand and pray in the synagogues
We certainly need leaders in worship who are willing and capable to pray. But in Jesus's teaching leaders, too, are characterized by humility and service to others.
Orderly prayer according to 1 Timothy 2 requires that men (husbands, fathers; Greek: ἀνήρ) take the lead. However, when they do so they are not to speak in anger or argument, which would evidence self-seeking. The holy hands of 1 Timothy 2 are humble and seeking the good of others.
1 Timothy 2:8
I desire then that in every place the men should pray, lifting holy hands without anger or quarreling.
In the closing remarks of Paul's letter to the church at Ephesus, he calls on them to pray always. But of particular interest to us here is what he asks them to pray for. Their pray is to be for others: first in supplication for all the saints, but then for Paul. But even in Paul's case, the prayer is not for him personally; the request is that he may have the right words to proclaim the gospel boldly, as is right—a selfless request to make good his service to others.
Ephesians 6:18–20
[Stand therefore…,] praying at all times in the Spirit, with all prayer and supplication. To that end, keep alert with all perseverance, making supplication for all the saints, and also for me, that words may be given to me in opening my mouth boldly to proclaim the mystery of the gospel, for which I am an ambassador in chains, that I may declare it boldly, as I ought to speak.
go into your room and shut the door
The theme from the opening verses of this chapter continues here. Jesus contrasts the hypocrisy of doing good in order to be seen by others with the earnestness of doing our good privately before God. There is also a promise here as in the verses leading up to this that God will see it and will certainly repay His servants.
In Luke 12, quoted below, there is a similar thought. On one hand, the Lord condemns the hypocrisy of the Pharisees. On the other, He promises the disciples that whatever they've said in secret will eventually be proclaimed openly.
Luke 12:1–3
…When so many thousands of the people had gathered together that they were trampling one another, he began to say to his disciples first, "Beware of the leaven of the Pharisees, which is hypocrisy. Nothing is covered up that will not be revealed, or hidden that will not be known. Therefore whatever you have said in the dark shall be heard in the light, and what you have whispered in private rooms shall be proclaimed on the housetops."