The Cherries now sit 19th on the table.
Asked if he is worried about his own position as Cherries boss, Howe told the BBC: "Always. You're always looking at whether you're doing good enough and whether ultimately you're helping the team.
"That's something I'll have to reflect on."
Discussing the disappointment against the Hornets as a whole, Howe added: "I'm always concerned when we don't win, wherever we play. It was a home game and we were desperate to do well.
"I felt the players were very keen to do well. There's no problem in terms of attitude or endeavour.
"It was more the first goal going in damaged us mentally and we didn't recover."