Not really, does it bother you Kamala Harris's father is a Marxist? Or Trump is morally corrupt, lying, cheating, narcissistic, self obsessed compulsive liar who has been accused of selling state secrets and making deals with foreign leaders? That his son in law got paid 2.1 billion after leaving a position he had no experience or right to be in and did nothing while there? Or his daughter securing $600 million in trademark deals from the Chinese government?
Corbyn is a socialist, and a pacifist, he's made that clear numerous times with his speeches and approach towards conflicts and policy ideas. He is a scholar of history and politics and has also said many times he thought Marx was a great economist. He was for unilateral nuclear disarmament and has often said he's an idealist. Some of his policies were considered Conservative by many, especially his views on austerity with regards to stabilising the economy. He has also said on numerous occasions he does not support violent protests and thinks they don't work towards achieving political change, only causing more divisions with those who don't share the views of the protesters.
So no, it doesn't worry me. What worries me more is the hate campaign against him and the lies and false accusations made against him in order to force him out.