Nicole Kidman and Keith City are every protecting busy as their divorce continues to make headlines … each making separate public appearances this weekend.

Kidman stepped out in Dallas on Saturday evening to help a trigger near her coronary heart — attending amfAR’s charity public sale, which raises funds for AIDS analysis and HIV prevention worldwide. The Oscar winner was all smiles as she appeared on stage to talk on the occasion.

In the meantime, her estranged husband hit the stage on the East Coast … performing in Bristow, Virginia as a part of his ongoing Excessive and Alive World Tour. City placed on a high-energy present for 1000’s of followers, marking one other cease in his string of performances since information of the couple’s divorce broke.

We broke the story … Nicole and Keith separated this summer time — Keith’s concept, Nicole needed to make the wedding work — and, they have been residing in separate Nashville houses for the previous few months. Our sources say they assume Keith’s going by way of a midlife disaster.