There is a distinction. Dark web is usually associated with the Tor network. Deep web is stuff you can't access normally, like your email or someones Onlyfans.

I think she actually meant dark web tho.

wrong,

https://en.wikipedia.org/wiki/Deep_web

The deep web, invisible web, or hidden web are parts of the World Wide Web whose contents are not indexed by standard web search-engine programs.

https://en.wikipedia.org/wiki/Dark_web

The dark web is the World Wide Web content that exists on darknets: overlay networks that use the Internet but require specific software, configurations, or authorization to access.

Dark web is a subset of the deep web.

Think of dark web as the high-security installations where the best Pokémon are found. And the deep web as all the hard-to-access parts of the world (like the Himalayas) that have been less exploited by Pokémon hunters so there's a better chance of getting rare-but-popular ones.