I have an odd question that has stopped me from applying from most incubators to date (although it may also be too early as well)... If my idea is very specific to an industry because that's what I'm interested in pursuing but would require developing applications that would benefit almost all general industries conceivably, is that considered good or bad? For example, my company is only looking to be a player in the…
That's actually a good sign in a startup. Ideally you want to start by solving a small number of people's problems very thoroughly, and then expand the number of people whose problems you solve.
Of course, you have to start small - there usually isn't a choice not to. But, I think it's best to have a product which can serve a huge market in its most basic form without adding more features.
There are very few examples of startups which start with a product with features highly specific to one group of users and then expand out successfully to a huge market. Most startups die or get stuck in a vertical.