Mutlu Kaya, who is from the conservative region of Diyarbakir in the Kurdish-majority southeast of Turkey, remained in a critical condition in hospital after she was shot in the head yesterday.
The three men later arrested by police included her 26-year-old boyfriend Veysi E, the Dogan news agency said.
Veysi E reportedly rejected the accusation against him, while admitting to being "opposed to Mutlu Kaya's participation on the show".
Kaya had been appearing on the Turkish TV talent show "Sesi Cok Guzel".
The Posta newspaper had reported earlier this week, before the attack, that Kaya had been threatened from within her own family for going to Istanbul to take part in the contest.
The Kurdish majority southeast of Turkey is known for its strongly conservative values, with women expected to perform a traditional role.
Kaya was shot while she was at her home in the Ergani district of Diyarbakir province, Dogan reported, and is now in intensive care in Diyarbakir.
Reports said she was shot by an assailant who fired a bullet from the garden through the back window into the house.
"My beautiful girl Mutlu, how could they wound you? I am very sad," Can wrote on her Instagram account on Monday.
The attack on Kaya comes at a time of intensifying anger in Turkey over the extent of violence against women, with hundreds of wives killed by their husbands every year.
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