Everyone is looking for you. At first it sounds like proof that you matter. By evening, there is no part of the day in which you were allowed to be unavailable.
In Mark 1, Jesus leaves a busy place of ministry to pray, then continues to other towns. Luke describes His regular withdrawal for prayer. Real needs exist, yet constant availability doesn't define His obedience.
You're not responsible for reproducing Jesus' mission, and you don't have His unlimited knowledge. You can learn from the attention He gives the Father. Make space to discern what is yours. A quiet interval can support faithful care rather than compete with it. Protect a small period of prayer or rest and let it remain a real appointment.
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Reserve a manageable period for prayer and rest. Communicate it where needed and keep it.
You can take this slowly.