ExxonMobil's gay problem The world's largest oil company is under fire for refusing to specifically prohibit discrimination against gays in its employment policy. NEW YORK (FORTUNE) - Does ExxonMobil have a problem with gay people? While much of corporate America has embraced gay rights - by promising not to discriminate against gay workers and offering domestic partner benefits - the world's largest oil company has steadfastly resisted pressures to become more gay-friendly. ExxonMobil has been boycotted by gay rights groups, peppered with angry phone calls, criticized in gay-oriented consumer guides and pressured by shareholder resolutions - all to no avail....