The US didn't "refuse" the so-called refugees that streamed into Europe in 2014-16. Those persons never applied to the US for refugee resettlement or asylum in the first place. Since the US instituted the Refugee Admissions Program in 1980, the US has been the world leader in refugee admissions by far - and many of the persons resettled in the US under the USRAP over time have been Muslims of both sexes.

Under Trump, the annual numbers of refugees admitted were capped at a much lower level than previously - and increasing concerns were raised about admitting applicants from some Muslim-majority countries, in part due to unfair anti- Muslim prejudice. However, long before Trump became POTUS, widespread fraud had been found amongst those applying for USRAP status, especially through the family reunification program, from certain countries in Africa where the population is majority or largely Muslim. This caused the Obama administration to suspend applications from some countries in 2008, long before Trump cut the USRAP numbers overall and instituted the so-called "Muslim ban" on travel to the US from certain Muslim-majority countries tied to Islamist terror activities.

https://2001-2009.state.gov/g/prm/refadm/rls/fs/2008/111770.htm

https://www.wsj.com/articles/SB121919647430755373