As far as alcohol interacting with estrogen, it appears that, on one hand, CYP3A4 enzymes can increase with consumption of alcohol and those enzymes metabolize estrogen heavily when taken orally. More CYP3A4, less estrogen in the blood. Not good!
But, on the other hand, as alcohol appears to be broken down by both CYP3A4 and CYP1A2, enzymes that both metabolize estrogen orally, it may act as a competitive inhibitor of estrogen metabolism and thus increase its concentration.
My thoughts. If you take estrogen orally, alcohol may affect levels and thus, it would be wise to limit or even not drink alcohol at all. If taken non-orally, then no worries. But, as always, if you do drink, drink with moderation and be careful.

Re: liver and estrogen...the risks seem quite low though and I think alcohol would probably affect it much more adversely. The bad rap about estrogen and liver comes from prescribing high doses of non bio-identical estrogen such as Premarin and Ethinyl Estradiol to transgendered women in the past. Times have changed, we take bio estrogen now and risks are much reduced.