To not want DD having music lesson with lodger at teacher's house

[Tinkletinkletree]

Really not sure if I'm being overly sensitive here. My DD (8) has a music lesson each week and the teacher comes to our house. With the colder weather she's decided to teach from her home. I'm a bit put out by having to travel as my other children have clubs etc and we deliberately choose a teacher who came to us for convenience but willing to give it a try as it is temporary.
I've since found out she has a lodger who will be present when DD is there. The teacher can't understand why I'm uncomfortable with the arrangement which makes me wonder if I'm being unreasonable.

I don't think YWBU to try to find a new teacher as the arrangement you particularly chose them for (the fact they came to you) has now stopped. I mean, if there are a plethora of teachers of this instrument in your area who come to your house and that your dc get on with - which seems a BIG 'if').
However, YABU with your concern about the fact your child's teacher has a lodger.
Your child will be there for 1/2 hour, supervised and being taught by the teacher who you trust. What do you think anyone else who happens to live in the house is going to do ? More than likely they won't even see them.

Providing the teacher is with the child at all times during the lesson which tends to be usual for private music lessons/ instrument tuition then it should not be an issue.

No, just no

I think the teacher can't understand why you are worried about it, because presumably she wouldn't leave your child's side during the lesson?? I had 30 minute lessons from a cello and a piano teacher once a week for 14 years and could probably count on my fingers the number of times the teachers went to the loo in my lesson. Therefore, the lodger will never have unsupervised contact with your daughter.

That being said, presumably the contract is for the teacher to come to your house, and she is changing this? However much that isn't her fault (health problems are not her fault), if going to her house doesn't work for you, you can always find another teacher.

I had piano lessons as a child and these were in teacher's home. The only issue is if the child arrived and the previous lesson hadn't finished and they had to wait a minute. That happened a few times.

I do think it's quite a different set up. I would take a break and restart. Zoom wouldn't be a temporary option until the spring would it?

No, she can't expect the teacher to keep the place open.
While I agree with you that she changed the basis of the agreement with the OP, the OP cannot say the DD will stop the lessons and restart when the weather warms up and expect the slot still to be there.
She can stop the lessons because the arrangements have changed and don't suit. She can stop the lessons and say to the teacher that she would be interested in having lessons again when the teacher can return to home visits. But she can't expect her to keep the place open. The teacher is losing money all the time that slot is not filled and there's no guarantee the OP's DD would start again after the "hiatus".
I'm a music teacher and there is no way I'd keep a place open for anyone like that. I have a waiting list and if someone stops for whatever reason the place goes to someone on the waiting list. I can't afford to be keeping slots open for people who want to have a break. If they want to continue paying then they can keep their slot.

I don't think the teacher is taking the piss by changing the arrangement. It sounds like a genuine medical issue - arthritis and difficulty with mobility when it's cold. It's not someone who just decided they can't be arsed to go out in the cold anymore.
She has a good reason for it, but of course, this does mean that she has changed the arrangement and it doesn't suit OP so OP will either have to make the new arrangement work or find someone else who is willing to come to her home.

I had a couple of different music teachers when I was younger and found it interesting to be in someone else's home, just to get a little snapshot into how other people in my town lived. My world was pretty small as a child, and it honestly did open up different horizons.

One of my DC goes to his music teacher's house, and prays she'll be running late so he can play with her child-friendly pets while they wait.

I really can't understand why you're uncomfortable with her household. If it's inconvenient for you, then you need to find another teacher.

I watch a lot of True crime channel stories on YouTube - I would never leave my child alone unsupervised. Literally anything can happen. Trust your instincts

if The teacher can no longer travel just give notice and find another one. As you have another parent there to supervise during the lesson.

so my assumption is that you are not intending your daughter to be with the teacher unsupervised.
if you are then it’s not really much of a difference if you feel comfortable. But it’s your child safety so you don’t have to be reasonable or compromise if you don’t want to.

i do wonder how likely the teacher is to go back to travelling if she’s managed to get all students to come to her.