Have trouble deciding a therapist

I am looking to go into therapy again. I have 3 options.

Therapist 1 - Went for 3 sessions with her. It could be my views clouding my judgement, but made me feel fat - I guess she just wanted me to be accountable. The main issue, she seemed to talk a little about herself while in therapy and conducted 1 session in her home (mansion, rather). She was alone in the home (mansion), but didn't lock the door and ensure my privacy...etc.
Also, despite knowing I'm against some thing (like marriage as solution for happiness and depression), she actually told me that it's true sometimes. Isn't marriage a personal choice?
Above all, she wanted to prescribe anti-depressants, when she was a therapist, not a doctor.

Therapist 2 - I inquired to her before I went to Therapist 1, but she didn't reply for 2 days. Later, I got a message from her, asking me about fixing an appointment. I replied that I already fixed with another therapist. She messaged saying she delivered a baby....I mean personal details to someone she's never met...and may not be in right frame of mind.

My next option is to try someone completely different....but don't know how good or bad they'll be....

What would be your advice? I'm right now leaning on Therapist 1. And sorry for my english, it's not my first language.

Thank you for reading.

Well, only you can know what's best for you... but I would say that both those therapists sound a bit off to me. In particular the marriage against depression thing - that would be a huge red flag for me, it's complete nonsense and shows a lack of understanding of what depression is (or what happiness is, for that matter.) And you are right, if she is not a medical doctor she has no business prescribing medication - in most parts of the world she wouldn't even be able to do so.

I don't want to know any personal information about a therapist, especially not when I've only just met them, so that's another issue with both of them. Also, I don't know where you live, but if therapist 2 just had a baby, how can she be working already?

It's tough finding a therapist, but many people do have to meet with several therapists before they find somebody who is a good match. Trust your gut feeling on this, and don't stay with somebody who feels wrong. Sometimes it can take a while to get to the point where you feel that you can trust a particular therapist who is actually a good match for you, but based on the things you mention, I would keep looking.

But these are just my personal opinions, of course.

Although there are actually good reasons for therapists not to lock their doors during sessions - one did it to me once and boy did I feel trapped - Therapist 1 sounds like trouble waiting to happen. (Making you feel fat? They're not supposed to give clients more issues.). Therapist 2 sounds distracted.

I'd find a third option. And a fourth or fifth if need be.

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They both don't really sound like a good option and how you wrote it down it doesn't sound like you really want either of them. You hade 3 sessions with T1. If you didn't felt good with her, it's probably better not to choose her.
Can you look for another T? Try some more T's?