He missed the SPL win at St Johnstone after returning late from international duty, before suffering a knee injury in training which has kept him out of the first team since.
His absence has paved the way for the emergence of 17-year-old centre-half Wilson, who has earned rave reviews for his performances in the last three games in three different competitions.
"I'm not worried about my own place but if Danny keeps playing and the team keeps winning, that is life," said Bougherra.
"I would have to accept that and fight hard to get back into the side because it is the gaffer's choice at the end of the day.
"The main thing is it is good for the team to have another good option to turn to. That keeps us all on our toes.
"Defence has been a problem for us this year and it has been an area where we have been a little short of bodies."
Wilson made his bow in the Co-operative Insurance Cup win at Dundee and retained his place in the team for the SPL match against Dundee United, which was abandoned at half-time due to the weather conditions.
By then, Walter Smith had seen enough to hand the teenager his Champions League debut in the 1-1 draw with Unirea Urziceni in Romania.
Bougherra added: "Danny is just 17 and I only actually found that out last week - I thought he was 19 or 20 and I never realised he was so young.
"He is very relaxed when he plays and I think that is the key to him doing well. He doesn't seem to feel any pressure and that's a really big thing.
"In the last Champions League game against Unirea, he came into the team and did very well. That is a good thing for the club because boys like Danny are the future and he can do very well for Rangers.
"For me, it is very important the club is able to keep hold of him because he can do well for them and the people here can do well for him.
"It is good that Danny has emerged as he provides more competition in defence. At the moment, there is me, David Weir, Kirk Broadfoot and now him too.
"I am very pleased with how he has done so far and I feel there is far more to come from him. I was not surprised at how well he did in Romania because I have seen a lot of him in training over the last few months.
"One of his best qualities is that he makes the game look easy and that's because of the confidence he has. When you see Danny playing, he looks as though he has been in the team for such a long time already and that is fantastic."
Bougherra again reiterated his desire to remain at Rangers at least until the end of the season but admitted the decision could be taken out of his hands if the cash-strapped club are forced to sell key personnel in January.
He told Rangers News: "Everybody understands the financial situation at the club just now and that is life I'm afraid.
"I am sure somebody will come in and buy the club because a big side like Rangers has a lot of people who want to look after it.
"I said at the end of last season that I want to stay here for one more season and I enjoy it here so I'm not in a hurry to leave in January.
"I need stability in my life and I feel my game can keep progressing here at Ibrox. There's no motivation to go just yet.
"At the end of the season, we will see what happens. We need to be honest and if the club needs money, they might have to sell me.
"Just now, however, I'm very pleased to be in Glasgow and I am confident we can keep doing well."