The Muslim woman is permitted to use a vibrator only as a last resort (i.e. if there is no any other way to save herself from committing Zina except the use of the vibrator)
Sheikh `Abdel Khaliq Hasan Ash-Shareef, the renowned Da`iyah, states the following: Highlighting the attributes of true believers, Almighty Allah says in the Qur’an: (Those who guard their sexual organs except with their spouses or those whom their right hands possess, for (with regard to them) they are without blame. But those who crave something beyond that are transgressors.) (Al-Mu’minun: 5-7)

In this verse, Allah, Exalted Be He, outlines the way sexual desires are satisfied, and regards any other form of satisfying sexual desire (such as masturbation) as transgression or violation of Allah’s bounds. This applies to both men and women, although women are supposed to be more bashful and modest than men.
The majority of scholars consider masturbation haram. Imam Malik bases his judgment on the forgoing verse arguing that someone who masturbates is one of those who “crave something beyond that.”
On the other hand, it is reported that Imam Ahmad Ibn Hanbal regards semen as an excretion of the body like other excreta, and permits its expulsion the sa
me way bloodletting is permitted. Ibn Hazm holds the same view. However, the Hanbali jurists permit masturbation only under two conditions: first, the fear of committing fornication or adultery, and second, not having the means to marry.

Moreover, the eminent Muslim scholar Sheikh Yusuf Al-Qaradawi adds:

We are inclined to accept the opinion of Imam Ahmad in a situation in which there is sexual excitation and danger of committing that which is haram. For example, a young man has gone abroad to study or work, thereby encountering many temptations which he fears he will be unable to resist, may resort to this method of relieving sexual tension provided he does not do it excessively or make it a habit. Yet, better than this is the Prophet’s advice to the Muslim youth who is unable to marry; namely, that he seeks help through frequent fasting, for fasting nurtures will-power, teaches control of desires, and strengthens the fear of Allah. The Prophet, peace and blessings be upon him, is reported to have said, “O youth, whoever of you is able to marry, let him marry, for it spares one looking at what one should not, or lapsing in adultery. And if he cannot marry, let him observe fasting, for it is a shield against evil.” (Reported by Muslim.) (Quoted from The Lawful and the Prohibited in Islam.)

Based on what is mentioned above, a divorced Muslim woman is allowed to use a vibrator to satisfy her sexual desire if it is the last resort – instead of committing Zina. But a married woman (if there is no dire necessity to warrant it) is not allowed to do so, since she will be regarded as one who “craves something beyond that,” which is condemned by the aforementioned verse.