In any proceeding for the enforcement of a claim, which by reason of the waiver aforesaid or otherwise, is paramount to the exemption, if there be in the county or city wherein the proceeding is estate of the debtor other than that which has been set apart as aforesaid, such other estate shall be subjected and exhausted before the estate so set apart is resorted to. If, however, the claim is secured by mortgage, deed of trust or other specific lien on the estate set apart, nothing in this section contained shall prevent the enforcement of the security in the first instance and before resorting to other estate of the debtor.