Matthew 15:22 And, behold, a woman of Canaan came out of the same coasts, and cried unto him, saying, Have mercy on me, O Lord, thou Son of David; my daughter is grievously vexed with a devil.
23 But he answered her not a word. And his disciples came and besought him, saying, Send her away; for she crieth after us.
24 But he answered and said, I am not sent but unto the lost sheep of the house of Israel.
25 Then came she and worshipped him, saying, Lord, help me.
26 But he answered and said, It is not meet to take the children's bread, and to cast it to dogs.
27 And she said, Truth, Lord: yet the dogs eat of the crumbs which fall from their masters' table.
28 Then Jesus answered and said unto her, O woman, great is thy faith: be it unto thee even as thou wilt. And her daughter was made whole from that very hour.
The Canaanite woman came to Jesus on behalf of her daughter who was "grevously vexed with a devil". Clearly, she wanted deliverance for her daughter.
Jesus called deliverance "the children's bread", and said (to test her) that she didn't belong in the family of God's people. She accepted and asked for the crumbs that would be thrown to the dogs. Jesus commended her faith, granted her petition and her daughter was delivered (made whole) that very hour.
Mark 7:25-30 narrates essentially the same incident, though the woman is identified as a Greek (a tern often used for Gentiles) of Syrophenicia.
The point I want to stress is that if you are a child of God by repentance from sin and faith in Jesus for salvation, you are entitled to deliverance any time you need it.
For more details, go to the Deliverance Page accessible from the left menu.