There’s a warmth to this line, somehow. “Mine own lord” feels heartfelt or personal in a way. Is this a last ditch attempt to re-connect with Claudius before choosing how to proceed? Her allegiance isn’t entirely clear – but it’s always felt to me that she wants Claudius to comfort her. He doesn’t. But she’s lost so much here- her son’s lost to her in many ways and she’s (sort of) promised to distance herself from Claudius. Polonius is dead. Who does she have? The only other woman in the play will shortly die as well. So… Gertie’s on her own. Of course she’d want comfort wherever she can find it.