Hi,
It is unfortunate that the male flew away. The female may not continue to care for the eggs. Usually one bird sits during the day, and the other sits at night. Both parents help feed the chicks. If the eggs hatch, the chicks may not survive. It’s really too much work for one parent.
You should already be feeding them a nutritionally balanced diet like pellets – not a seed diet. Also offer leafy greens, veggies & some fruit. They also need an egg food – either a dry commercial egg food or cook an egg with the shell washed, crushed and cooked with the eggs.
Do not try to introduce a male right now. She would not accept it and may even kill it. And he might raid the nest and destroy the eggs or kill any chicks. If the eggs hatch and the chicks survive, you need to remove the nest box as soon as they leave it. Once the chicks have been weaned, they should be moved to a different cage. Later you can consider trying to introduce a new male. But you can’t just put one in the cage. He would need to be in his own cage, next to her cage, while they get used to each other. She may or may not like him and vice versa. They choose their own mate in the wild and do not always like the bird we choose.
As for temperature, once the temperature is about 26 Celsius, it is too hot for breeding birds outdoors. You have to understand that the nest box is considerably hotter, especially if any chicks hatch. The adults and chicks will die from heat inside the nest box. If they are outside now, and it is 26 or higher, I would bring them inside. Most likely the hen will abandon the eggs, but she probably won’t hatch them anyway without the male, and again, the chicks are likely to die because she won’t be able to keep herself and them fed by herself. And lastly, if the box is too hot, they will all die. It is better to save the female than risk her life for the remote possibility of these eggs hatching or the chicks surviving. I’m sorry for the likely sad outcomes here, but you have to make hard decisions sometimes when breeding birds. And you don’t know that the eggs are even fertile, so you don’t want your hen to die for infertile eggs.
Thank you for asking Lafeber,
Brenda