It marked Watkins' first goal in the Premier League this season.
“It's a bit of a relief, really, because the more the games go by, there's a lot of talk and pressure," he said, ahead of tonight's Carabao Cup visit of Everton.
“But I just try and block that out and I back myself in front of goal no matter what anyone says.
“The first one is always hard to get. I'm delighted to get off the mark now. I'm looking forward to the games coming up now and plenty more goals for the season."
On the win at Chelsea, he also said: “I didn't think it was our best performance, to be honest.
“It was a tough game, we didn't pass it around like we normally do but, at the end of the day, we've come away with three points against a Chelsea side who have got a lot of good players. It's a tough place to come.
“Some games are like that, you can play really well and not win and play not so well and come away with the three points.
“So, we'll take that, it's a good start to the season for us."