Mark:
Now there was a woman who had been suffering from a flow of blood for twelve years. 26 She had endured much under many physicians and had spent all that she had, and she was no better but rather grew worse. 27 She had heard about Jesus and came up behind him in the crowd and touched his cloak, 28 for she said, “If I but touch his cloak, I will be made well.” 29 Immediately her flow of blood stopped, and she felt in her body that she was healed of her disease. 30 Immediately aware that power had gone forth from him, Jesus turned about in the crowd and said, “Who touched my cloak?” 31 And his disciples said to him, “You see the crowd pressing in on you; how can you say, ‘Who touched me?’ ” 32 He looked all around to see who had done it. 33 But the woman, knowing what had happened to her, came in fear and trembling, fell down before him, and told him the whole truth. 34 He said to her, “Daughter, your faith has made you well; go in peace, and be healed of your disease.”

Matthew
Then suddenly a woman who had been suffering from hemorrhages for twelve years came up behind him and touched the fringe of his cloak, 21 for she said to herself, “If I only touch his cloak, I will be made well.” 22 Jesus turned, and seeing her he said, “Take heart, daughter; your faith has made you well.” And instantly the woman was made well.

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Did matthew believe that the body of jesus was part of the divine ? In mark, power is able to flow from jesus without his knowledge and because the woman has faith, she is able to cure herself. In matthew, the woman cannot cure her self so she has to wait for jesus saying, “your faith has made you well”

mark says

Faith produces healing so “be healed” means keep your faith and stay healed.

Another question, why was the womam afraid in mark? Did taking of power without permission make her afraid ?
“He looked all around to see who had done it.”