With England losing 2-1 against France, captain Kane - who is one of the most reliable penalty takers in world football - stepped up but smashed the ball over the bar.
Around two million more people watched Wales' first World Cup game in 64 years.
The TV presenter accused the broadcaster of virtue signalling and hypocrisy.
A trio of famous footballing faces will be a part of 'Spitting Image' when the satirical series returns to BritBox in September.