You'll be fine. I get the same vibes when I fill in one of those online restaurant booking forms and have to wait for confirmation. Will they? Won't they? Have I done the right thing? It's similar with sending emails.
I sent PSL an application like 15 years ago and didn't hear from them for like 6 months so I emailed them about it to follow up and they told me they'd get back to me if there was something they thought I could participate in.