(If you are short of time, the answer is “we don’t know, for sure”).
We can only know about the Father through the Son. That is what makes us Christians.
The Son certainly had emotions: fear, love, humour, anger, grief, resignation, and all the rest that I fail to name. The latter are all a matter of public record.
That He had them, makes it OK for us to have them too. OK? In my walk of life, I meet a lot of extremely emotional people (mostly upset emotions). I am sure I am not alone; the problem is always: “How do I see the Christ in this (upset) person”?
The answer is in the Gospels, of course. Repentance and forgiveness, forbearance and selflessness are the heart of His message. These are all painful and risky. An aversion to self pity and personal risk are a mark of the true follower of Christ. (If you are a person who lacks those beatitudes, then delay your mission for Christ. You are not ready!!)
In these ways, we resemble Christ and, by inference, we resemble His Father, and His Mother:
Loving Kindness, in Truth.