Marriages between officers and enlisted personnel do exist and are not necessarily forbidden.
The greater the difference in rank between you, the greater chance the relationship has of affecting your unit.
Those who are responsible for the recruitment or education of airmen are not permitted to date or form social relationships with those for whom they are responsible.
This is true regardless of the respective ranks of the individuals involved.
They are specifically forbidden from engaging in sexual relationships or making sexual overtures toward those who are under their care or their immediate families, and should use extreme caution when forming any sort of social relationship.
Always remember that the imbalance of power is strong, and using your position for any sort of perceived gain is prohibited.
If you both love the service and love one another, a great option is for the enlisted person to quit, which will typically be allowed by your Battalion Commander if you are honest about this.