I'd think the Meteor would be easily able to defend itself against an Me-262, but could not break off the engagement. It would be kind of like attacking a porcupine.
The Me-262 pilot was faster and had good armament but the Meteor would turn inside him every time and ALSO had good armament.
If either could surprise the other, the win would go to the attacker. If they were both aware of what was happening, I'd say it was about a draw, and the Meteor was a bit more reliable, though a working Me-262 was as dangerous as anything in WWII in the air. On 7 Novemebr 1945, a Gloster Meteor set the world speed record at 606 mph TAS. Definitely faster than the 440 mph I see above. The war ended with Meteors having destroyed 46 German aircraft all on the ground and having suffered more from misidentification and attack by ALlied fighers and flak than from the Germans.
As a result, theyw ere painted white for identification purposes. The closest to jet-on-jet combat they ever came in WWII was 19 March 1945 when their airfield was attacked by German Arado AR-234 jets. No Meteors were airborne or GOT airborne and the combat never happened in WWII.
The P-80 was at or near the level of performance of the Me-262 but only four airplanes made ot to Europe as far as I know. The P-80A made 558 mph at sea level and 492 mph at 40,000 feet. The Me-262 was very slightly faster at altitude but was outclimbed by the P-80A. Neither ever fought against the other, and the P-80 also never fought against the Meteor.
Interestingly, Meteors fought each other in Argentia during the revolts of the 1950's, but none shot down another. One, a rebel aircraft, was lost due to flying wth gasoline intead of jet fuel (aviation kerosene).