Howe said: "I think there is only one emotion and that is relief. I think it was a hard-fought cup tie. Both sides gave everything to get the win and didn't give an inch but we are delighted to be in the hat for the next round.
"They packed the backline and packed the midfield so it was difficult for us to penetrate them. It could have been better but we got that first goal and it was a really well-worked goal.
"The lads kept their heads and remained calm and I think every penalty was taken well.
"I think when you see the season we have had and the situation we are in, this was never going to be an easy cup tie. Martin (Dubravka) made some great saves that we needed him to make and we also missed some golden opportunities in the final third.
"The most important thing is that our season cracks on and we are thrilled to get through to the next round."