Should there be a comma after, "said"?

I believe that would be correct in British usage, but you should use single inverted commas. In American usage, you would use a colon and double inverted commas (called quotation marks in American usage).

I'd punctuate it this way:

In fact, she said "it is one mode of tackling the unique difficulties associated with refuting false factual claims on the Internet."

Here are examples:


punctuation guide

Setanta has given you sound advice.

The sentence is a bit confusing, it's not clear what she's saying. Hightor has pointed out it is as problematic, In fact is as well.

If it's an article of some type and the only words she spoke are the ones you've used inverted commas for then you need to add another word.

In fact, she said, that it is "one mode of tackling the unique difficulties associated with refuting false factual claims on the Internet".

If however, you're writing direct speech and the person talking is quoting someone else then it needs further speech marks.

Either
'In fact,' she said, 'It is "one mode of tackling the unique difficulties associated with refuting false factual claims on the Internet".'

Or

In fact, she said, 'It is "one mode of tackling the unique difficulties associated with refuting false factual claims on the Internet".'

Depending on whether the person speaking is saying In fact.

Hope that helps.

Perhaps this will help:

In the first case, Justice Ang Cheng Hock had found that the burden should fall on the Government to prove a statement is false, because in issuing correction directions, it is curtailing the right to free speech which is protected by the Constitution, among other things.

Disagreeing, Justice Belinda Ang said a correction direction under Pofma does not constrain free speech as it does not require the removal of the original statement.

In fact, she said, it is "one mode of tackling the unique difficulties associated with refuting false factual claims on the Internet".
She added that a person's only obligation under such a direction is to put up the Government's take alongside his statement, so that viewers can compare the competing accounts of facts and make their own decisions.

https://www.straitstimes.com/politics/high-court-judge-differs-from-fellow-judge-saying-people-have-to-prove-their-statements-are

Once again, a sentence like this, all on its own, can be interpreted in different ways.

Initially I submitted the sentence punctuated this way:

- In fact, she said that it is one mode of tackling the unique difficulties associated with refuting false factual claims on the Internet.

People often give accounts of what someone else said without turning it into a direct quotation:

- The weatherman said that it will rain tomorrow morning and clear in the afternoon.

I'm sorry, I was a bit sloppy earlier, if you insert that, you need to get rid of the comma, as below.

In fact, she said that it is "one mode of tackling the unique difficulties associated with refuting false factual claims on the Internet".

Sorry again.

There shouldn't be a comma after 'after'.