I'm still learning about Cockatiels as I go along since I haven't been a tiel owner for that long.. but here's what helped for me:
I have three tiels that hate to be handled. One will nip until you leave him alone. The other two.. I'm way too afraid to even try with. I started leaving the cage door open when I can supervise. One of the three came out on their own. I have a feeling that if I do this long enough, another one (or two) will come out just because the first one did. So I'd suggest maybe doing the same and letting her Tiel decide when it's ready to come out? When my tiels come out, I also make it a really happy place and offer lots of goodies.
I'm not too sure about the baby thing.. but about opposite sexes mating.. I know that I have at least one male in my cage. None of them have ever mated. I don't provide a place for egg laying though.. so I guess that helped.
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