I don’t know how long your parents were married, how close they were to each other, or anything else about their relationship, but I do know that however your father reacts to your mother’s death depends on many, many different factors.
See, for example, some of the links listed on this page on my Grief Healing website: Death That Brings Relief.
Couples remarry long before they have finished grieving their losses, worked through their issues or developed a healthy single lifestyle. Jeff and Judi Parziale A reader writes: My dad remarried recently to a woman he met four months after my mom's passing.
I am 36, so part of me feels like I shouldn't be so childish about this--however--they are an extremely insensitive twosome.
Write down your own precious memories, each time they occur to you.