Re: proof point, what you're trying to show is that this won't steal passwords or data or be sold to someone who will, so you have to put some reputations behind it. The best thing would be to put your team on the site -- right now there are zero people on the site with their names behind this. Put who they are, where they worked before, and have them refer to this project from their LinkedIn/Github/etc. so it's a two-way link -- then there's reputations at stake. Then if you can also get some people with larger reputations than yours to believe in you and put their reputations behind it the same way, via an advisory board etc, that's even better.

Your privacy policy and terms are not bad, in that they address your specific software and describe an opt out for collecting aggregated data. I'd proofread, since typos like "Users also have the option of opting out of this collect when" make it sound like you haven't had lawyers look at your privacy approach. And "We may collect information about how you use the Service, such as search queries" sounds ominous, maybe qualify that up front.

Finally, this is when people start asking what your plan is for monetizing, since "sell the data" is the default plan. Having a good answer to that on the site would be great.

You have no information about where you are, who you are, etc. I might have installed this 15 years ago, but I would never use an app where it has access to my emails when I know zero about the company.

You start off saying "I" and then continually start saying "we". This might be some weekend project where you haven't gotten to any of that, but to trust something to read my emails, which contain so much personal information, is just a no-go.