Wa `alaykum As-Salamu wa Rahmatullahi wa Barakatuh
Marriage is a great Sunnah of the Prophet (peace be upon him), and we are encouraged to embrace it as the ideal if we can afford to do so and do justice to our spouses.
If, however, a person has no desire for intimacy and he or she cannot fulfill the rights of his or her spouse, then they may choose to remain celibates. We have a significant number of eminent scholars who never got married: Among them were esteemed Imams such as Ibn Jair al-Tabari, An-Nawawi, and Ibn Taymiyyah. We may do well to remember also that Prophet Yahya was a celibate.
So, it is not a must for a person to get married.
In your case, it seems you are not free of desire for intimacy, so, you should ask Allah to provide you a righteous marriage partner. If you fail to find a suitable marriage partner, you incur no sin as it was beyond your control.
In the latter case, you will be rewarded if you accept the will of Allah patiently.
As for praying to Allah in helping you find a marriage partner, I would advise you to make lots of istighfar.
The Prophet (peace be upon him) said, “Whoever makes istighfar constantly, Allah will open ways for him or her and provide for them in ways they would never be able to estimate.” So, you should continue making istighfar; Allah will facilitate matters for you.
You may also use the following du’aa’:
Allaahumma hab lee min ladunka zawjan saalihan, innaka samee’u al-du’aa’
(O Allah, grant me a righteous spouse as a pure gift from You; verily, You are the Hearer of prayers).
I pray to Allah to help you find a righteous marriage partner.
Almighty Allah knows best.
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