It depends on what you mean by ‘attracted to’ I guess? But the simple answer is according to The Bible – yes – you are free in Christ to marry someone you are not attracted to physically if you love the person and they love you and you are both Christians and love God with heart mind and soul.
We know from The Bible that outward beauty eventually fades so it is inward beauty that is really important in life and relationships. Does this person love God and desire to keep their commands? That is the most important thing as you are each others helpers and guardians.
But I would advise against it as a general rule as God designed different people to be attracted to people physically for a good reason – to cause them to fall in love initially and longer term when the initial ‘honey-moon’ period is over to keep them together as a ‘glue’, to stop the eyes from wandering and of course to make procreation easier!
But in the end it is character that is infinitely more important over physical attributes that will be left when this life is over and we enter the next.
