The interior designer, 48, and husband Colin MacDougall, 46, each denied two separate alleged breaches during the brief hearing.
The couple own and jointly run the Manor House Wildlife Park, in St Florence, near Tenby, west Wales.
Ryder Richardson sobbed silently and dabbed her eyes with a tissue during today's hearing at Haverfordwest Magistrates' Court.
The couple's company, Manor House Wildlife Park Ltd, also denied committing two breaches of health and safety legislation.
Magistrates declined jurisdiction of the case and adjourned proceedings until May 14 for committal to crown court.
It means the couple will come before a jury for trial later in the year at Swansea Crown Court.
Their appearance before magistrates today follows an incident in August 2010.
Three-year-old Gruff Davies-Hughes suffered serious head injuries at the park after a heavy branch fell on him during strong winds.
He spent three days fighting for his life in intensive care after being urgently airlifted to hospital.
His PE teacher mother Emma Davies-Hughes, 28, suffered a head injury and fractures to her leg, pelvis, and arm.
The mother and son, from Llanelli, were among dozens of people visiting the attraction's wallaby enclosure at the time.
Mother-of-two Ryder Richardson made her name alongside Laurence Llewelyn-Bowen on the BBC's popular makeover show Changing Rooms.
In 2008 she gave up her TV career and bought the dilapidated 52-acre zoo come wildlife park with her husband.
The prosecution is being brought by the public protection division of Pembrokeshire County Council.
Both Ryder Richardson and her husband are expected to attend the next court hearing when a date will be set for trial at crown court.
