Bitcoin (BTC) fell to $74,190 on Saturday, its lowest level in more than a month, despite pro-crypto Kevin Warsh being sworn in as Federal Reserve chairman a day earlier.BTC/USD daily chart. Source: TradingViewKey takeaways:Higher odds of a rate hike in 2026 are pressuring the Bitcoin market.Bitcoin has historically struggled during years marked by Federal Reserve leadership changes.Why is Bitcoin down despite a pro-crypto Fed chair?Bitcoin’s sell-off came as the 2-year US Treasury yield climbed to 4.14%, its highest level since February 2025. US 2-year bond yield daily chart. Source: TradingViewThe 2-year yield is closely tied to where traders expect the federal funds rate to move in the near term. Its move above the Fed’s current 3.50%–3.75% target range suggests markets are no longer betting on quick easing under Warsh.CME data shows traders now expect the Fed to keep rates unchanged for most of 2026, with futures pricing pointing to a possible 25 basis point hike in December. Target rate probabilities for the December Fed meeting. Source: CMEOver the past three decades, the Fed has typically raised rates when the 2-year Treasury yield moved above the federal funds rate, as the gap suggested markets were pricing in tighter policy ahead, according to data provided by BCA Research.US 2-year Treasury yield vs. US Fed fund target rate. Source: BCA ResearchConversely, when the 2-year yield fell below the Fed funds rate, it often signaled expectations for future rate cuts. Related: Bitcoin ETFs snap 5-day inflow streak as BTC dips under $80KSuch a shift weakens the bullish case for BTC, which typically benefits from falling yields, lower real rates and easier liquidity conditions.Warsh is "a known inflation hawk"In the past, Warsh has spoken favorably about Bitcoin, criticized central bank digital currency, and backed a larger role for private-sector financial innovation. For crypto traders, that checks several bullish boxes.But from a monetary-policy perspective, Warsh may still challenge the bullish Bitcoin narrative, according to analyst Crypto Patel. In a Saturday post, Patel noted that Warsh is "a known inflation hawk," not a dove, adding that a difficult macro backdrop, including Iran war-driven inflation risks and labor-market pressure, may keep him from slashing rates."Crypto-friendly on regulation is NOT the same as dovish on rates," he said.Bitcoin underperforms in years of Fed leadership changesAnother warning comes from Bitcoin’s historical reaction to Fed leadership changes. In a Saturday post, analyst Lucky noted that BTC has struggled during previous chair transitions: it fell 84% after Janet Yellen took over in January 2014, 73% after Jerome Powell started in February 2018, and 60% after Powell began his second term in May 2022.Source: XWarsh’s takeover has so far coincided with a sharp BTC decline, suggesting traders may again be de-risking as they wait for policy clarity from the new Fed chief.This article is produced in accordance with Cointelegraph's Editorial Policy and is intended for informational purposes only. It does not constitute investment advice or recommendations. All investments and trades carry risk; readers are encouraged to conduct independent research.