It is permissible for a woman to perform Hajj if her husband will pay for of her loans or debts, although it is preferred that she pays off your loans before traveling.
An Islamic scholar, Sheikh Ahmad Kutty, said:
‘Ideally, we must pay all outstanding loans before performing Hajj, because the rights of others have priority over the rights of Almighty Allah in such a case.
However, if you are seriously thinking and planning to pay off your loans in full, and are taking all the necessary measures to do so, and your husband is paying your expenses for Hajj, then you are allowed to do it.
Likewise, if the loans are not due, but they are due in installments, then you can perform Hajj provided you have paid the installments that are already due, and you have the means of paying the rest when they become due.’