Here's everything I know about this whole thing:

There has been a lot of research into the subject but there's also been unreliable data that is being used to intentionally misrepresent what has been found (hence the correlative vs causal relationships).

So the current well agreed on science is:

• All current fever reducing medications (and most other medications) are correlated with detectably increasing the chances of a child being born with autism, including Tylenol
• Having a fever while pregnant is correlated with increasing the chances of a child being born with autism well beyond the level that Tylenol would pose
• So, strategically using Tylenol would be the best way to mitigate all risks. Which is also what was the general recommendation was prior to this DoH announcement.