It doesn't look like Swedish authorities have any plans of releasing A$AP Rocky anytime soon. Prosecutors have asked a judge to keep Rocky in custody for a while so they can investigate the case. In Sweden, police are generally only allowed to keep you for three days so it's clear that Rocky is a target right now.
A$AP Rocky's bodyguard will be released due to "insufficient evidence" but the rapper himself is being kept for the time being. If he's convicted of the crime, he can spend up to six years in prison.