Yes, I believe she would be welcoming. Even though the last part of the poem sounds like a curse ("May the young man be sad-minded with hard heart-thoughts"), it is still a statement of the speaker's enduring love for him. She suffers, but imagines that he suffers too, in the exile or wherever he is, and remembers their happy days with sorrow. Her depression has elements of embitteredness, but her love for him is not disputable.