Delta Goodrem has made her first public appearance since surprising new claims about her and ex Brian McFadden were aired.The Australian singer, 39, performed three hits for a crowd of 1,000 in Melbourne, at an event named Brekky In The Burbs. Smiling as she took to the stage, 00s fave Delta looked effortlessly chic in a grey jacket, accessorised with chunky gold hoop earrings.This marks the first time she's been seen out and about since Australian radio host Kyle Sandilands made some eyebrow-raising claims about her romance with her former Westlife fiance. He alleged that he witnessed the couple "spit" into each other's mouths, adding: "They'd just spit in each other's mouths and giggle." "I was like...