The claim that Mike Johnson is refusing to seat an elected member of Congress to protect child rapists is unverified because none of the available sources provide direct evidence or credible reporting supporting this specific allegation.
Mike Johnson is refusing to seat an elected member of Congress to protect child rapists.

Evangelical conservatives cheer one of their own as Mike Johnson assumes Congress’ most powerful seat - PBS News
Source: pbs.org
Key Evidence
confirms Johnson campaigned with Josh Duggar, an accused sex offender, but does not link Johnson’s actions to protecting child rapists by refusing to seat members.
businessinsider.combusinessinsider.comHouse Speaker Mike Johnson campaigned with disgraced reality TV Star Josh...
shows Johnson supporting investigations into sex offense-related matters rather than obstructing them.
politico.compolitico.comHow Arizona voters are set to put Mike Johnson in a corner
None of the other sources mention any refusal by Johnson to seat an elected member of Congress on these grounds.
What the Evidence Shows
The search results and sources related to Mike Johnson primarily focus on his political background, his role as Speaker of the House, his conservative affiliations, and some controversies involving associates such as Josh Duggar, a known accused sex offender. However, none of the sources explicitly state or provide evidence that Mike Johnson has refused to seat an elected member of Congress with the intent or effect of protecting child rapists. One source mentions Johnson campaigning with Josh Duggar and connections to Tony Perkins, who has associations with individuals accused of sexual impropriety, but this does not equate to Johnson refusing to seat a member of Congress for such reasons. Another source discusses Johnson’s involvement in a House Oversight Committee probe into Jeffrey Epstein-related matters but does not link this to refusing to seat any member.politico.compolitico.comHow Arizona voters are set to put Mike Johnson in a corner
businessinsider.combusinessinsider.comHouse Speaker Mike Johnson campaigned with disgraced reality TV Star Josh...
There is no direct or indirect evidence in these sources that supports the claim as stated. The claim appears to be a serious accusation without substantiation in reputable news or official records available from the provided sources.