It's actually called "saddle soreness" and goes away with time. I have never heard of hemorrhoids from cycling. I used to cycle a lot like 2 to 300 miles a week and never once had a problem.
There are also "bike shorts" with gel pads in them for when you do long rides. Or a proper seat. "Terry" components makes a woman specific seat designed just for the anatomy and pressure points of women which differ from men.
Or you can get a seat pad to put on your seat temporarily. Some of the people in the spinning class I used to go to had those. 2560 days ago
Get a new seat....gel is the best! If you go to any outdoors type store talk to the cyclist there and they will be able to help you out. I paid about $90 for my seat and trust me it makes ALL the difference to have a good quality seat!