Leave it for a few days without playing. The swelling should go down. If jamming persists, seek attention from the maker. The rings on the flute sockets are not just decoration - they are vital to preventing the thin socket wood from splitting. If a ring comes loose, do not assemble the flute, but seek attention from the maker or a qualified woodwind repairer.
Dirt building up inside tone and embouchure holes can affect tuning and tone.
Do not use anything harder than soft wood to remove it. Be especially careful of damaging the edge of the embouchure hole. Be careful while cleaning or oiling not to damage or dislodge the cork stopper in the headjoint. You can check the position of the stopper by inserting the cleaning rod up the headjoint backwards. With it touching the face of the stopper, the mark engraved near its end should appear centrally in the embouchure hole.