Answer
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
In this fatwa:
It is OK for you if you are asexual and choose not to get married.
In responding to your question, Sheikh Ahmad Kutty, a senior lecturer and an Islamic scholar at the Islamic Institute of Toronto, Ontario, Canada, states:
There is nothing wrong if a person does not experience any sexual attraction or desire. People vary in their sexual attraction. Some do not feel any need for sexual fulfillment. We have a few eminent scholars who were celibate and never got married: Imams such as Ibn Jarir at-Tabari, An-Nawawi, Ibn Taymiyyah are a few examples.
Although they were all great scholars who wrote and lived Islam, they never got married since they felt no desire or attraction toward the opposite sex.
So, it is OK for you if you are asexual and choose not to get married.
Almighty Allah knows best.