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Negative comments that are not backed by actual criticism of your story are just trolling and should be ignored. I know it's hard, but try to focus on the positive comments you're probably also get...
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#3: Attribution notice added
Source: https://writers.stackexchange.com/a/35783 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
Negative comments that are not backed by actual criticism of your story are just trolling and should be ignored. I know it's hard, but try to focus on the positive comments you're probably also getting. If you're still worried about the quality of your story, see if you can get a beta reader (possibly from the same fanfiction community) to catch the worst mistakes before you publish them online. A lot of fanfiction sites also offer a variety of tags to categorize any story, so that people who don't like a specific character, pairing or plot point know to skip it if it really bothers them. Some of them will still read and still complain but like the others have said, you can't please everyone.