there is not such a thing as "automatic only licence", the driver's licenses are issued on class everywhere. U probably have a noncommercial class A which allows you to drive in Europe as well.
I always rent a manual transmission car in Europe being the cheapest ones but I wouldn't drive in the UK where the big problems are the traffic rules. I barely can cross the streets over there.
The answer is that you can drive as the car has both manual and automatic transmission.
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