Kerem Aydin, 22, and Jacinta Davila, 27, were arrested in Adelaide's inner west after the 61-year-old father's death in an apparent home invasion triggered a high-level investigation by Major Crime detectives.
The pair appeared at Adelaide Magistrates Court via video link on Wednesday charged with murder, aggravated serious criminal trespass and committing theft using force.
Magistrate Michael Jandy heard the couple were linked to the crime scene by DNA evidence on a headtorch and blood stains found at Dr Yung's Gilberton home.
CCTV footage showed two people outside the house at the time of the attack, but the quality of the footage was not strong enough to positively identify them on its own, he was told.
Aydin, sporting a bandage over a bruised and swollen left eye, did not apply for bail.
Davila, who sobbed throughout her appearance, will return to court next Wednesday when Mr Jandy will consider releasing her on home detention bail.
Her lawyer said she was the sole carer of the pair's eight-month-old son and remaining in custody throughout a lengthy trial would bring undue hardship on the child.
The pair had unsuccessfully attempted co-parenting after the child was conceived during a one-night stand, he said.
The court heard the pair were arrested outside a shopping centre after they had attempted to shoplift a first aid kit from a Chemist Warehouse to patch up Aydin's injuries, allegedly sustained during the break-in.
Mr Jandy said he was inclined to accept the defence case that special circumstances should be afforded to Davila because of her parental obligations but he was yet to make his mind up about releasing her on bail.
The prosecution opposed her bail, arguing the alleged offending was serious in nature, the case against her was a strong one and she was a risk of tampering with evidence.
Whilst there was a relatively strong case that Davila had tampered with evidence by attempting to wash blood from clothing found at the pair's house, there was an obvious question mark surrounding the strength of evidence attaching her to the crime scene at the time, Mr Jandy said.
While he acknowledged her DNA was found on the headtorch at the crime scene, he said there was the potential for secondary transfer from her to the crime scene via Aydin.
"Absent of any other evidence putting this defendant at the scene of the crime at the time, the case will remain possibly equivocal in relation to her," Mr Jandy said.
The pair are due back in court for a charge determination hearing in March.
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