The phrase "much sympathy" means having a great amount of understanding, compassion, and care towards someone who is going through a difficult time or experiencing hardship. Full definition
It's hard for me to feel much sympathy for his position, though I did my best to help him use appropriate options to register his complaint. (sbnation.com)
Simple fact: It's hard to feel too much sympathy when a publication gets sued for publishing excerpts of someone's sex tape. (talkingpointsmemo.com)
For most of the political activists the churches remained too closely identified with the established powers to gain much sympathy or interest. (religion-online.org)