Williams will be held in prison until his next court appearance on January 31.
As previously reported, Alleyn was shot multiple times and killed while walking near his home in Lakes Close, Eden Lodge, Saint Michael around 7 p.m. on December 26.
The court hearing was attended by Alleyne's sister Tanella and his cousin Noella Alstrom, the mother of Rihanna's goddaughter Majesty.
Pictures taken last week show a strip of yellow police tape around the back of a property and next to a parked vehicle in the neighborhood. Residents in the area say it marks the spot where the 21-year-old was murdered.
Rihanna's cousin, late Tavon Kaiseen Alleyne, was 21 year old. Never thought that would be the last time I felt the warmth in your body!
Alleyne was killed in the Barbadian capital of Bridgetown on December 26, after being approached by a man who shot him multiple times.
The eight-time Grammy award victor added the hashtag, '#endgunviolence, ' at the end of the post. Every third person in Barbados carries a gun with them, the police said. Almost 80 percent of murders a year ago were gun-related, according to Barbados Today. Alleyne was taken to the Queen Elizabeth Hospital, where he later died from his injuries. And she added the crying emoji and broken heart.
Rihanna's cousin was shot to death on Tuesday in Barbados.
His sister, Tanella, also posted a photo of herself with Alleyne at the hospital, putting an emoji of an angel over his face. Love you always man!
'This was our first Christmas together we clean we decorate and everything!
"All you wanted was love and a chance. best man!" I would love to see you now my brother boy I love you Tavon... He also wrote, "In my life your presence is a source of happiness and joy".