The left-back and his manager both agreed that he wasn't benefiting from Under-21s football.
Kinsella, 20, joined Luton last week for the rest of the season with Jake Howells injured and Scott Griffiths due to have a hernia operation, before making his professional debut in the weekend’s 2-1 defeat at Northampton.
The promising defender had been an unused substitute for Villa’s Premier League matches against Sunderland and Swansea, as well as the FA Cup quarter-final win over West Brom, but revealed that a discussion with manager Tim Sherwood led him to seek a short-term stint elsewhere.
“It was my first full league game, my debut. It was a tough experience but it is good to get some game time,” he said. “As soon as I heard that Luton were interested I wanted to get it done. I won't say it too loudly but I'm from Watford, so it's close to home.
"I was on the bench for the last three games and it has been a good experience but the gaffer and I came to the decision that I needed to get some experience and get some game time.
"I've only been playing under-21s and it has not really been benefiting me because I've been playing that for the last four years. I've come here to play some first team football."
A former Arsenal trainee, Kinsella has established himself as a regular with Villa’s Under-21s over recent seasons and was also a part of the side which won the 2012-13 NextGen Series.
His arrival couldn’t prevent promotion pushing Luton from falling to their sixth straight league defeat but Hatters boss John Still believes his new signing will have an important role to fill for the club during the final run in.
"He's a Watford boy and was at Arsenal as a young boy,” said Still. “I'd seen him play and we actually asked about him a little while ago but there were little changeovers going on within the club, so it wasn't something that we could do.
"Fortunately we were able to do it in the last couple of days, so he'll settle in fine.
"We've had no Jake Howells and obviously Scott's situation, so we did need to try to do something in that area, which wasn't easy, to be honest. Fortunately we got something."