We are unclear about what you are asking. The simple answer is the same no matter whether the individual or their spouse is a member or non-member. If you are asking how soon after a person dies their ordinances can be completed, the answer is one year and one day after their death.
If there is a problem with the link, you can find this information by clicking on the question mark in the circle at the top of this page or any page in Familysearch.org and typing death into the Search box.
It is NOT so much a 'time limit', more so a Policy.
Firstly, you have to wait 12 Moths after their (your Ancestor's) passing; and,
Secondly, FURTHERMORE, if you CANNOT get "Permission" from their "Living" Spouse (and/or, their "Living" Children, if any); THEN, you will have to wait until their "Living" Spouse (and/or, their "Living" Children, if any) dies/passes.
It is NOT a matter of whether or not the "Living" Spouse (and/or, their "Living" Children, if any) is a Member of the Church. The same applies to the "Living" Spouse (and/or, their "Living" Children, if any) that are a Member of the Church.
"Permission" is REQUIRED from the closest "Living" Relative.
The closest "Living" Relative being an undivorced spouse (the spouse to whom the individual was married at death), an adult child, a parent, or a brother or sister - usually in that order.
Here are some "Knowledge Articles" in "FamilySearch":
Family Tree says I need permission to reserve ordinances. The 110-year policy does not apply.
How do I request ordinances for an ancestor who was born in the last 110 years?
Do I need permission from the closest living relative to do temple ordinances?
I cannot find any close living relatives to grant permission for ordinances
I hope this helps.