Alot can also depend on where the rescue is coming from, history if any, and breed characteristics/nature.
A general "re-home" situation like many have done is very different from a stressed dog from long term pound conditions, as is a cruelty/neglect case, as is an elderly sick dog, or a more powerful retired trained dog.
An expert handler or a homer with experience is needed in more cases than not.
Many times we see people with a huge kind heart that want to re-home but are unaware of the sometimes much experience needed.
If wanting to re-home for the first time have a number or make contact with a qualified, experienced behavoiurist before you do, take as much good advice as you possibly can.
Then, with your confidence enjoy the rewards as you turn their little life around!