There are several treatment options for hemorrhoids, but if what you have is simply a skin tag from an old external hemorrhoid that has now healed, and it is not giving you any trouble, it may not be worth it to have a procedure to remove it. You should have your physician take a look on Monday, because you may have prolaspsed internal hemorrhoids which are not painful. Procedures like banding, laser, and sclerotherapy can be used to treat such hemorrhoids. I would discuss these options with your primary care doctor, and get a referral to a surgeon if appropriate.
In the meantime, and for the long haul, continue to get lots of fiber (about 30g/day), exercise, and drink lots of water, to prevent your stools from being hard and therefore preventing the need to strain.
Good luck.
JMK MD