I'm sorry you've had a bad experience with a "rescue", but I'd also like to clear up a few things.
I am very actively involved in running a rescue organization (am the adoptions team leader), and all correspondance is by e-mail, unless something requires a phone appointment. It makes some people uncomfortable, yes. However, we are a very small group of people, volunteering to do this in our spare time after work/school/family/etc. If we have time to pop off an e-mail at 2 am, we can do that. Can't exactly make a phone call then!
Also, you would not believe how inundated rescues are with e-mails. "Is this dog still available?" "I'm looking for this type of dog, can you help me?" "I need to get rid of my dog, will you take him?" "I found a lost kitten, can you take it?" and so on and so on. It does get to be rather irritating, as so many of the questions we're asked can be answered by viewing our website or by filling out an adoption/foster application. So yes, you may not get as thorough of an answer as you'd like. But that's reality, rescues are a service for dogs, not people!
Dogs in our care take priority, so yes, website updates do fall behind. We have a disclaimer on our pet listings that say "ALL THE INFORMATION AVAILABLE ABOUT THIS DOG IS HERE. UPDATES ARE PROVIDED AS THEY ARE AVAILABLE" Yet still, people e-mail asking "can you tell me more?". We have an adoptions address and a main address...whenever is someone is sending a message from one, the other address is cc'd. Yes, people are contacted by several people during the process. We do not have staff! Those on our adoptions team pop in to help when they have a moment. My rescue has a 4 person executive, and some applications deal with all four of us at one point or another.
The person who did the home visit may have known more than you thought. Often, there is one person in the rescue who does the "matching" (even though someone may apply for a specific dog, it may not be a good fit for them). Before we had this policy, we got ourselves into a couple of sticky situations when two applicants were interested in the same dog. Now, the person doing the home visit will not talk about specific dogs unless it has been pre-approved by the director.
Anyway, what you experienced was not abnormal until she got ridiculous and said she wasn't going to invite you into her house. That's childish and unprofessional. And unfortunately, there's no shortage of that in the rescue community. There are a lot of big egos and saint/martyr syndrome.
My rescue has been reputably rescuing since 1999, and I've been involved since 2008. Perhaps rescue isn't the route for you. You might be more comfortable with shelter adoption, where you can go in and actually speak to an individual.