If you glanced at the Daily News' cover today, you might think the tabloid was saying a kiss between Yankees' third baseman Alex Rodriguez and Hollywood starlet Kate Hudson will make you sick. Actually the "Sick" headline refers to a disturbing look at city hospitals, while A-Rod and K-Hud's canoodling has its own feature: According to sports writer Rich Shapiro, the pair "put on a very public display of affection for the first time, locking lips during the team's annual family picnic." And A-Rod's two daughters, Ella, 1, and Natasha, 4, were also present. Yankees manager Joe Girardi may give Rodriguez a day off, since he's "4-for-22 with no homers and three RBIs in his last six games, and he's whiffed six times in his last three games." Newsday points out it could be "preventive," since "A-Rod turns 34 Monday and had a big birthday bash planned for last night in the city, thrown by Hudson, with all his Yankees teammates invited." It's unclear what the overall Hudson effect on A-Rod's performance is; a few weeks ago, it seemed mixed.