My 3 year old hate me

[StandardRussian66]

I am studying full time so my DD is in nursery full time. She has started to become a bit difficult and says she doesn’t like me anymore. She doesn’t want to spend time with me and when we went away to visit family she wanted me to drop her and go home.
What do I do? I’m tempted to take next week off and keep her home and things with her but will she then hate me more when she returns to nursery the week after?

Am pregnant with 2nd baby and don’t want her to resent me more when that baby is here.

I would just roll with it. She is just expressing her emotions. Try not to take it personally. Taking it personally is not going to be useful to her or you. Unfortunately mothers are there for children to 'explore' their emotions let's say! Your daughter loves you and needs you, this is a phase and do not take it personally or that it 'means' something, it doesn't. Because you have hormones all over, may be more sensitive to this sort of thing at this point in time!
Don't take her out of the nursery. Instead, every day try to spend 10 minutes with her just you and her alone. When you are 'available' to her alone.
Doing a jigsaw or a puzzle or making something in the kitchen. Try to 'invite' her to take a look at what you are doing, 'oh this looks interesting, I'm thinking of planting some seeds in these little pots' type of thing. Or start building something with the Lego - whatever.
Or just sit in the same room as her for the 10 mins (but do not be looking at your phone!) as you need to be 'available' to her.
That might show an improvement in things. Because you need the message to be 'I am prepared to be with you even if you are angry with me'.

I think it's very unlikely that your DD hates you. Children do sometimes say that sort of thing (& might mean it at the time!) but she will love you really.

She might, however, be feeling angry or resentful if she feels you're not giving her enough of your time and attention because you're so busy. Perhaps, instead of taking a whole week off at once, you could take one day per week over the next few weeks (so you can spin the time out for longer). Tell your DD that you've arranged this because you enjoy spending time with her and that you've missed her recently while you've been studying. Ask her what she'd like to do on these special days (perhaps have a few suggestions ready if she is likely to come up with unrealistic ideas herself). Have some fun days together - but even more importantly, try to ensure that you spend some distraction-free time with her after nursery each day too! You could read her stories, do some Playdoh together, colouring, puzzles...I'm sure your relationship will soon improve. Good luck!

Can you partner help? How does she feel about him? It sounds like a phase she is going through dealing with you having stuff to do other than look after her. She will grow out of it if you ignore and just try to be as nice as you can and ignore it all. Ask your partner to help though. I think we really need to get out of the mindset of everything being about the mother and the mother’s fault/responsibility.

My partner doesn’t live with us ( long story!)

Children only act out and are horrible to people who show them unconditional love. She knows that it does not matter how she behaves towards you that you will still love her and care for her.

Apparently it's very common for this age, mine did it and most of our friends have gone through this phase.
A horrible phase but definitely a phase...

I believe it's something to do with them testing the people they are closest to so they know they will always be there for them no matter what and they feel comfortable enough with you to push the boundaries.