The woman was indeed healed because she believed. By saying, your faith has made you well,
Jesus shows the crowd that he is not just some miracle worker using magical powers, for it is not the garment’s power, but the woman’s faith, followed by the word of Jesus (Mark 5:34), that healed her.
The Greek word sóizó means both being saved as well as being healed: being healed in soul, spirit, and body. The healing was spiritual in the sense that by faith she entered into a saving relationship with Jesus.
In her specific case, yes. With the words your faith has made you well,
Jesus wants to remove the possibility of any misconceptions on the part of the audience. She and the crowd around them should not view him as just some miracle worker using magical powers, for it is not some power in his garment, but the faith of the woman, followed by the word of Jesus (Mark 5:34, that healed her.1
The Greek word sóizó has a very broad range of meanings and conveys both the idea of being saved as well as being healed. The healing referred to here entails being holistically healed in soul, spirit, and body. The healing of the woman was spiritual in the sense that by faith she entered into a salvific relationship with Jesus.2
22 Jésus se retourna, et dit, en la voyant: Prends courage, ma fille, ta foi t'a guérie. Et cette femme fut guérie à l'heure même.