What is the name of this fallacy?

From here:

The Boston Globe shared a study by the Williams Insititute, a pro-trans “think” tank, that ignored the transgender sex assaults you are about to read about.
A first-of-its-kind study being released Wednesday refutes the premise that the state’s transgender antidiscrimination law threatens public safety, finding no relation between public transgender bathroom access and crimes that occur in bathrooms.
The Bangor Daily News was also happy to pretend there were no sexual assaults.
So there we have it — a bunch of lefties telling us there is no harm in letting a crazy man in a pencil skirt empty his bladder next to women and girls.

 

He then lists several assults and ends with:

This is only a partial list of assaults. Many of these stories go back to 2016, when the aforementioned lefty rags told us this sort of thing wasn’t happening.
Know what I couldn’t find? A dude in a dress getting attacked in a men’s room.

And yet he doesn't show that they form a majority of bathroom rapes, nor who is more statistically likely to do a rape. Or you know find out if causation is the same a correlation. Is there a term for all this?

cherry picking 

In addition to cherry picking, I'd suggest this could fall under overextended outrage.

Note that in your quotes the author does not suggest that assaults by transgender individuals make up the majority of bathroom rapes (unless I've misread something), but he does seem to suggest the numbers are significant and trending up, only to be ignored by the mainstream press and academia.

The term would be called propaganda. The fallacies cherry picking , lying with statistics , appeal to ridicule , scapegoating , poisoning the well etc.

PJ Media is a far right propaganda source that is just telling its audience what it wants to hear for $. 

Here is the report on PJ Media: https://mediabiasfactcheck.com/pj-media/ 

"Overall, we rate PJ Media to be Questionable based on extreme right-wing bias, promotion of propaganda and conspiracies, as well as numerous failed fact checks.
 
Detailed Report
Questionable Reasoning: Extreme Right, Propaganda, Conspiracy, Poor Sourcing, Failed Fact Checks
Bias Rating: RIGHT
Factual Reporting: MIXED
Country: USA
Press Freedom Rank: MOSTLY FREE
Media Type: Website
Traffic/Popularity: High Traffic
MBFC Credibility Rating: LOW CREDIBILITY"