Your Nostr address is setup. That's like an email address. It makes you easily found and identified versus giving someone a long and ugly public key address.

For a Lightning wallet, you'll need another app or website such as nostr:nprofile1qqst4qyeqenw7zm0fwjsty68h6cnys5jre2xd8ngqpjv5a2j26s78fspzemhxue69uhhyetvv9ujucm0d9hx7uewd9hj75a0pev or npub.cash for example.