Introducing a Spayed Female beagle to a non-neutered Male

Question
I Have just rescued a female beagle, Trixy, that is 2 years old and I currently own a male beagle, Buster that is 2 also. I have had Buster since he was 10 weeks old and never had him neutered and he has always been by himself. I thought getting him a companion/playmate would be a good idea seeing that I work now more and can't spend as much time with him as I use too. Trixy was Spayed when I picked her up from animal rescue.
I thought there would be no issues here to start with cause I know that beagles are pack dogs and they do not like being alone. Buster seems to be more interested in her, than Trixy does to him. They are not fighting or anything, Buster just can't seem to keep his nose off of Trixy, and it seems to bother her some what. Should I just give Trixy some time to adjust to her new home, and Buster to her? Should I let them run around together Supervised, and then separate them and do that everyday but increase the time they spend together until I feel they are going to be alright together? Just need some good advise.
I just want to make sure I am doing the right thing here. Thank so much for your time and I look forward to hearing from you.

Answer
Hi thanks for writing! Kudos to you for rescuing a beagle in need.

So the answer to this is fairly easy............ Buster needs to be neutered and should have been long ago. As an intact male he is going to continue to pursue her even though she cannot get pregnant. This is going to irritate her to no end. Think about if you were the female who didnt care about sex anymore and a male constantly was sniffing around you and your parts, eventually Trixie is not going to be polite about it and this is not the way to start off their relationship.

You are asking this question of someone who firmly believes in spay and neuter for all dogs! There are millions of dogs dying daily because of the over population of dogs and not enough humans to care for them, after all we made them domesticated. As well for females it keeps them safe from breast and uterine cancer and for males from testicular cancer. Yes this does happen to dogs, more often than in humans too.

For beagles this is even more important as they ARE pack animals so whenever the urge strikes would procreate. As well, they are completely ruled by their number one brain, their NOSE. Their noses contain about 220 million smell receptors; humans have about 5 million. An intact male is more likely to stray which puts them at a higher risk for danger, being hit by a car, or somehow otherwise harmed when they can get out.

Yes, Trixie needs time to adjust to her home and learn to trust YOU the Alpha before dealing with Buster 24/7 but until Buster if fixed he isnt going to give up on pestering her. I would make an appt to get him fixed immediately (it is not a big deal to get done) and in the meantime give her some space to adjust to you as I said and her new surroundings.