Having won the trophy nine days previously, the Football League rained on Arsenal’s parade with the news that their league position at the end of the 1969-70 season had not been good enough to invite the club to defend the Fairs Cup in 1970-71.
Uefa had not yet taken over running the competition so Arsenal had to buck the trend and appeal to the Organising Committee of the Inter-Cities Fairs Cup, seeking a reversal of the decision. The appeal was eventually successful and Arsenal would participate.
There was nothing new in the League’s stance, having previously denied QPR and Swindon Town the opportunity to take part following their League Cup wins on the spurious grounds that they were lower division clubs. Swindon in particular, proved the folly of the decision by winning the 1969 Anglo-Italian League Cup Winners Trophy, beating AS Roma 5 – 2 on aggregate and the 1970 Anglo-Italian Cup by beating Juventus home and away in the group stage, followed by Napoli in the final in Naples.
Arsenal On This Day 
It’s a conspiracy.