Your question about the women who the issue of blood covers many aspects. First, one must understand a lot of elements that are seldom pointed out to show the true power of the story.
There are two pivotal words in the account of the healing of the woman with the issue of blood. Those words are “virtue” and “faith.” The Greek word “virtue” is translated dunamis or miraculous power.
1. This was prophesied in Malachi 4:2: "But unto you that fear my name shall the Sun of righteousness arise with healing in his wings," According to Jewish sages and tradition, this Sun of Righteousness referred to in Malachi's prophecy was understood to be the Messiah, who would have the power to heal who ever touched the tzit-tzit (fringes) on his garment.
2. Because of her bleeding she was not allowed in public. She went against this Jewish Law in faith for her healing.
3. She suffered this bleeding for 12 years
4. Of course Jesus knew who touched His garment. This was a question of faith not a fact finding question.
5. She knew she would be healed because of the prophecies taught by the prophets.
6. The scripture below doesn't just say healed but made "Whole". This denotes the actual physical healing and also her spiritual acceptance/belief/faith that He was the Messiah.
7. Many people would gather for healing when they knew Jesus was in town. Many in this account had reached out to touch Him in efforts to see if anything would happen. Nothing happened because it was not the power or anointing that healed her but her faith that is would.
This is placing it in a very cursory manner. I pray this answered your question.
And a certain woman, which had an issue of blood twelve years, And had suffered many things of many physicians, and had spent all that she had, and was nothing bettered, but rather grew worse, When she had heard of Jesus, came in the press behind, and touched his garment. For she said, If I may touch but his clothes, I shall be whole. And straightway the fountain of her blood was dried up; and she felt in her body that she was healed of that plague. And Jesus, immediately knowing in himself that virtue had gone out of Him, turned him about in the press, and said, Who touched My clothes? And His disciples said unto him, Thou seest the multitude thronging thee, and sayest thou, Who touched me? And He looked round about to see her that had done this thing. But the woman fearing and trembling, knowing what was done in her, came and fell down before him, and told him all the truth. And He said unto her, Daughter, thy faith hath made thee whole; go in peace, and be whole of thy plague.
This is not the only account of miracles were performed using a tangible object for healing. Paul used handkerchiefs.