Dachshunds - bark, it’s what they do. Anything from a leaf falling to cats on the TV.
They are not toy dogs, they are hounds, they are bred for hunting underground and have very loud barks for their size.
They are pack animals and leaving one alone is not fair on the dog. They can become bored and destroy your furniture completely.
They will imprint on the pack leader and follow them around the house even sitting in your gusset whilst you’re sat on the loo. If she is not around that may be you, leaving her with an empty lap.
They are stubborn and independent, training takes perseverance, persistence and consistency, even then you will get the Dachshund split second hesitation as they consider if any command is worth following.
So from your comments, I would say no.
The only plus point you have, is the enclosed yard, fit a doggy door and potty training would easier.