Should I Adopt A 4 Month Old Cockapoo?

I found a 4 month old cockapoo at my local shelter, and I want to adopt him. I’ve had family dogs before, and I’m definitely a “dog person,” but by wife is definitely not a “dog person,” and this will be the first dog she has ever lived with. She’s ok with getting a small dog, but she’s still very apprehensive. I’m really wondering about three things:
1. Will adopting this puppy at four months of age create any real behavioral or training challenges I should be aware of?
2. Is this a good dog to adopt as a first pet for a woman who is somewhat afraid of dogs and insists she is “not a dog person?”
3. Are there any other key pieces of information I really need to know before moving forward with this?
Any and all advice you can provide will be GREATLY appreciated!