I'm far from a bird expert, but I would think that getting a companion bird for your Rilla would be a high priority. Maybe someone more experienced can say for sure. Lonely animals don't fare very well, in my humble opinion.

As for the human factor - There is no perfect waiting time after the loss of a beloved friend. If circumstances indicate you need get a bird, then go right ahead. The love you show a new birdie will be a reflection of all that love you got from Azure.

Don't get caught up in "should" or "shouldn't" - listen to your Rilla's needs - and you'll do the right thing.

Best wishes to all that miss Azure!