Nasukawa had her first international success at the 2002 Asian Athletics Championships, where she was a double bronze medallist in the 1500 metres and 5000 metres. She represented Asia at the 2002 IAAF World Cup in the 3000 metres, but finished last in her race. She shifted into longer-distance road running and set a half marathon best of 1:11:58 hours in Kobe in 2003, taking third place. She enjoyed a successful marathon debut at the 2004 Osaka Women's Marathon, finishing in fourth place with 2:29:49 hours. She dropped to eighth place on her return to the race in 2005, however.