Yes, other hospitals will follow in the future. Abortions are an unfortunate but necessary medical procedure. Hospitals are the most professional and safe place to receive medical treatment. If they are not made readily available it may end in dangerous alternatives being explored and women being explored by nonprofessionals in more dangerous environments.
Some state statutes specifically provide that minors may give consent in certain highly charged situations, such as cases of venereal disease, pregnancy, and drug or alcohol abuse. A minor may also overrule parental consent in certain situations. In one case, a mother gave consent for an Abortion for her 16-year-old unemancipated daughter, but the girl disagreed. A court upheld the daughter's right to withhold consent.
No, other judges will not follow the lead of the Washington state judge who said that hospitals must provide abortions on-site if they also offer maternity services. The fact that these hospitals provide maternity services does not suggest that they need to provide abortion services as well. The decision of this judge will be overturned.
The decision in Washington state is an anomaly; most state governments are rigidly against abortion and will not risk damaging their political reputations in order to follow suit. It would take a much larger move on the part of the federal government in order for more states to require that hospitals that provide maternity services also provide abortion services.