The only pain that God feels is the pain for the wickedness of his children. Alma is feeling this same divine pain. The interaction between the Lord and Enoch is instructive:
’…the God of heaven looked upon the residue of the people, and he wept; and Enoch bore record of it, saying…How is it that thou canst weep?…
’…The Lord said unto Enoch: Behold these thy brethren; they are the workmanship of mine own hands…
’And unto thy brethren have I said, and also given commandment, that they should love one another, and that they should choose me, their Father; but behold, they are without affection, and they hate their own blood.’ (Moses 7:28-33)