The head of a consulting firm founded by one of Bill Clinton's closest aides pushed back against allegations by Senator Charles E. Grassley, the Iowa Republican who is chairman of the Senate Judiciary Committee, that the firm had undue influence on Hillary Rodham Clinton's diplomatic work. In a letter to the committee in October, Declan Kelly, the Irish-born chief executive of the firm, Teneo, responded to questions about an agreement that permitted Huma Abedin, one of Mrs. Clinton's closest aides and the vice chairwoman of her campaign, to receive income both from her position at the State Department and as...