Robert Graham Thomas was convicted on Friday of 44-year-old Danielle Miller's murder after she was found dead in her Greenslopes home in October 2015.

After killing her, Thomas stole her bank cards and withdrew $2000 cash from her account.

He sent $350 cash to his wife in the Philippines and paid in cash for return flights there, the Brisbane Supreme Court trial heard.

Prosecutors believed Ms Miller and Thomas, who pleaded guilty to manslaughter but denied murdering her, may have been in a sexual relationship.

She was found dead by police lying face up alongside a broken fan and a clump of her own hair.

Her body was naked from the waist down, with extensive bruising to her neck and upper chest. She had fractures to her neck and torso.

The court heard the wounds to her torso were likely caused by someone trying to resuscitate her.

The Crown alleged Thomas tried to cover up his crime, throwing out clothing she wore in the hours before her death into a bin at a building site at the property next door.

In the days after Ms Miller's death, Thomas responded to sent texts from her before her death that she wouldn't speak to him again.

Thomas was tracked down by police at a takeaway food outlet and initially gave them a false name, the jury heard.

After the verdict was read out, a member of the public gallery called out, "just shoot the bastard".

Thomas will be sentenced in April.

Australian Associated Press