Our nornal drain connection to the pipes are broke and id like to do laundry still till it can get fixed.

Can I takethe wash machine hose and direct it to my shower bathtub drain?

Would the soapy drainage be too much for a shower drain? Or Would it be perfectly fine even after a long time of repeated laundry - because what if our landlord never fixed the drainage connection? We don't want to put hose outside for grey water pollution, plus its winter and window would have to stay partially open.

Sure you can. However, If this will be a permanent installation where the hose will be left hooked over the tub you'll have to install a hose check valve. (see image) next to the washer. If the hose hooks back over the washer each time you're good to go. Good luck, Tom