Yes, the divorced spouse benefit was designed to protect homemakers whose husband's bailed on them with their secretaries at 50 (although it benefits all kinds of spouses, male and female).
It will only be 50% of her ex's benefit (same as if they were married) but does not affect his benefit in any way. Also does not affect any other spouses he may have or may have had.
If her ex made a lot more in his life than she has, her spousal benefit may be more than she would get on her own.
Also, if he dies and she is over 60 (I believe) she can collect widow's benefits which are 70% I think.
In her age group, she cannot collect full SS benefits until age 66. Do your best to convince her NOT to collect early benefits at 63 - they will be significantly reduced for the rest of her life.
If she waits until she is older than 66, her benefits will go up by 8% for each year up to 70 that she delays collecting.
Is she disabled in some way that she can only work part time now? What are her hopes for earning a better salary in the future? Does she have any hobbies she can explore as side hustle sources of income?