To get the value of the dataGrid would be just that:
var valordacelular = DataGridView3.CurrentCell.Value;
You are not required to concatenate the direct value in the string of SQL, not below how your row would stay, but that is not advisable.
SQLcmd.CommandText = ("DELETE FROM usuario WHERE nome = '" & DataGridView3.CurrentCell.Value & "' ");
The correct one would be to add parameters within the String like this:
SQLcmd.CommandText = ("DELETE FROM usuario WHERE nome = @param1");
SQLcmd.CommandType = CommandType.Text;
SQLcmd.Parameters.Add(new SQLiteParameter("@param1", DataGridView3.CurrentCell.Value));