They want to know if you have a bug bounty program and what type of reward they'll receive if they disclose it to you.
Being a small startup, you don't have any formal program and cash is tight, but you want to take the report seriously if there is some critical vulnerability in your application.
What's the right way to respond to this type of reach out?
Reward can also be swag, even large known brands sometimes send branded t-shirts or socks instead of payment for low security issues (e.g. open directory listing on a website that doesn't contain any important files).
Be sceptic about 'critical'. In my experience just about anything gets labeled high and critical in the emails. "You should require a captcha on your contact form otherwise someone could send you 1000 emails" was deemed critical by one person recently.
Reply with promise to look into the issue and a non-commit first. The comment from julienreszka is perfect.
A lot of people reporting these are doing automated scans anyway, so it's not like they spent all day combing your site back to front. You may also receive an automated notification of the same bug through e.g. openbugbounty.org.
Likely this is the same script.