After Tyrese Sinclair put York into an early lead with an incredible long-range attack, a collapse ensued as Boston clinched its fourth league win of the season.
Goals from Connor Teale, Jimmy Knowles and Jacob Hazell saw City return home empty-handed from Lincolnshire, resulting in them slipping to third place in the National League.
Hinshelwood addressed the loss and believes the game could have played out very differently had the Minstermen taken some chances in the first half, while also saying that he and his coaching Explained how the team got their game plan wrong.
“It's easy to say after losing 3-1 (it was bad), but why couldn't we have led at half-time?” Hinshelwood said.
“If we were leading at half-time, the game wouldn't be so bad and the situation would be different.
“It's a game of chances in both boxes. They didn't need many chances to score and they were looking to score to get back into the game, but the way it played out at the end was terrible.
“The game should be out of sight by then, but it wasn't. Too often that becomes our Achilles heel.
“Olly Pearce had two great chances inside the six-yard box and we have to convert them.
“If we don't score, we leave ourselves open and our defense set a high standard on Tuesday, but we couldn't defend our box well enough.
“That was remarkable for us, they defended well in the middle of the pitch.
“In the second half we have to look at ourselves and the coaching staff and come up with a better game plan tactically.
“Maybe I left things in the same shape too much where I had to raise my hand.
“We have to look at ourselves first and we will do that because tactically in the second half we have to come up with a better game plan than we did.
“This just goes to show that if you leave players to their vices, this is what will happen.
“We have supported our players many times in the past and achieved results, but tactically we have to find answers for this group of players.
“We didn’t do that at halftime, so we have to look at ourselves.”
Hinshelwood also responded to criticism from supporters for choosing to make changes to his starting XI despite Tuesday's 2-0 win over Oldham Athletic.
The manager admitted fitness was on his mind when making the switch from Oldham, and viewed it as a learning curve during his time as manager.
“The fans are probably 100 percent right,” Hinshelwood said. “When I went there, they said, 'Why change a winning team?'
“That's also difficult. At this stage of the season, Saturday through Tuesday, we're trying to play at a high intensity, but the players looked a little tired after playing 60 minutes the other night.
“Maybe I should think about that. Yeah, if I keep playing the same team and they lose and look a little tired, then I don't have to take the blame.
“The whole responsibility is on me. I did it all season. I rotated the team. If you win, you get praised and you're an incredible coach. If you lose, you're trash and you shouldn't do that.” Don't change that. Please.
“I know that, I wasn't fooled, there's nothing that I don't take full responsibility for.
“Obviously we’re learning from that and I think not having Marv and Butts in the middle of the field away is a bit of a problem for us.
“And when teams drop like that and defend in the middle of the pitch in certain games, I don’t know if we have enough creativity as well.
“I have found a balance, but I will continue to work hard.
“This is not the time to start blaming. I am old enough to take full responsibility myself.”
