- 3.1 Individual
- 3.2 double
2004 Peer won the Australian Open in the junior competition. In the same year she became a professional.
2006 won the Israeli WTA tournaments in Pattaya City, Prague and Istanbul. They also reached the second round at the French Open and the U.S. Open. At the end of the year, Peer was ranked 20 in the world rankings.
2007 reached the quarterfinals of the Peer Australian Open. After the tournament, it was the number 15 in the world. At the French Open she once again reached the second round, where she defeated Svetlana Kuznetsova. At Wimbledon, the Israeli failed in Round 3 At the U.S. Open, she defeated Anna Chakvetadze in the quarterfinals.
2008 Peer participated in the Olympic Games in Beijing, but different both in single and in doubles (with Tzipora Obziler ) out early.
From October 2005 to October 2007 she performed compulsory military service in the Israeli army.
Peer was the first Israeli tennis player, who was allowed to participate in a professional tournament in the Gulf Arab States in Doha 2008. In February 2009, it refused the United Arab Emirates, however, an entry visa, so they had to cancel their start in the tournament in Dubai shortly.