BFP but I'm not broody!

[Presumption]

I've just had a BFP but I'm not sure if I'm ready.
I have a 2 year old who I adore but I found the newborn stage difficult and isolating. I was just getting to the stage where I felt like I could enjoy my 1 year old then Covid hit and it was just me and him at home alone for 70 + hours a week. (DH is a key worker). Im not going to lie, it nearly broke me.
I had my coil removed in the beginning of February (it had "dislodged" and needed removing). We agreed that we would wait until I had the vaccine to TTC. We DTD before I had the coil removed and used condoms there after. So it looks like I conceived before the coil was removed (or used a naff condom!)
I know it was only a matter of putting it off for a few months but I finally felt like there was a light at the end of the tunnel. Now im really concerned about the Covid situation somehow worsening and me birthing and raising a newborn pretty much alone.
I just feel a bit disappointed. I know that sounds absolutely awful and that some people would give anything to be in the situation I'm in. We only plan on having two and I feel like we've rushed into it and that I won't be enjoy the pregnancy.
I also don't feel broody at all! With my first I was desperate for a baby. What if that doesn't change and when the baby gets here I don't want it and fail to bond?
I do want the baby. Not keeping it hasn't crossed my mind. I'm just worried I'm going to fail both the baby and my first by not coping if we do go back into another lockdown.
Logically, Covid removed, the timing is perfect. My first has just started nursery and loves it. I've started back part time at work so will qualify for mat pay. We've just remortgaged so saving hundreds each month. By the time the baby is born my first will qualify for the free 30 hour childcare. On paper it's the perfect time.
DH is thrilled. I'm a bit consumed with reservations and can't seem to shake them.
Sorry for my stream of consciousness. I hope it makes sense! I'm just wondering, is anyone else in the same position or had a baby without being broody what so ever!?
TIA

Yes my third was a surprise baby being convinced when my second was only 10 weeks old. I didn't even feel the pregnancy going in because I was so busy with my 2nd and worried about bonding then he was born and although the house was absolute chaos I still that a lovely bond with him and watching the kids all grow up together is lovely. Honestly don't worry the bond will come could be after the baby is here but it will. I also recently had my 4th and he was a lockdown baby. That was hard because of the isolation but he is such a mummy's boy because of it which is amazing most times. This time 8 months when baby arrives we will all hopefully be back to some type of normal and honestly even if we aren't not having to cater to loads of people calling is nice too takes pressure off in the first few weeks. Hope u have a happy and healthy pregnancy

Thank you so much for replying and for the reassurance!
Hopefully it's just a case of it not sinking in yet! X