A. The separate debt of a spouse shall be satisfied first from the debtor spouse’s separate property, excluding that spouse’s interest in property in which each of the spouses owns an undivided equal interest as a joint tenant or tenant in common. Should such property be insufficient, then the debt shall be satisfied from the debtor spouse’s one-half interest in the community property or in property in which each spouse owns an undivided equal interest as a joint tenant or tenant in common, excluding the residence of the spouses. Should such property be insufficient, then the debt shall be satisfied from the debtor spouse’s interest in the residence of the spouses, except as provided in Subsection B of this section or Section 42-10-9 NMSA 1978. Neither spouse’s interest in community property or separate property shall be liable for the separate debt of the other spouse. B. Unless both spouses join in writing in the creation of the underlying debt or obligation incurred after the marriage, a judgment or other process arising out of such post-marital debt against one spouse alone or both spouses shall not create a lien or otherwise be subject to execution against the interest of the nonjoining spouse in the marital residence, whether held by the spouses as community property, joint tenants or tenants in common. C. The priorities or exemptions established in this section for the satisfaction of a separate debt must be claimed by either spouse under the procedure set forth in Section 42-10-13 NMSA 1978, or the right to claim such priorities or exemptions is waived as between a spouse and the creditor. D. This section shall apply only while both spouses are living and shall not apply to the satisfaction of debts after the death of one or both spouses.